Italian algebraic geometry between the two world wars:
Gespeichert in:
| Hauptverfasser: | , |
|---|---|
| Format: | Buch |
| Sprache: | English Italian |
| Veröffentlicht: |
Kingston
Queen's Univ.
1995
|
| Schriftenreihe: | Queen's papers in pure and applied mathematics
100 |
| Schlagworte: | |
| Online-Zugang: | Inhaltsverzeichnis |
| Beschreibung: | Aus dem Ital. übers. |
| Beschreibung: | VIII, 223 S. Ill. |
| ISBN: | 0889116997 |
Internformat
MARC
| LEADER | 00000nam a2200000 cb4500 | ||
|---|---|---|---|
| 001 | BV010769859 | ||
| 003 | DE-604 | ||
| 007 | t| | ||
| 008 | 960524s1995 xx a||| |||| 00||| eng d | ||
| 020 | |a 0889116997 |9 0-88911-699-7 | ||
| 035 | |a (OCoLC)34426813 | ||
| 035 | |a (DE-599)BVBBV010769859 | ||
| 040 | |a DE-604 |b ger |e rakddb | ||
| 041 | 1 | |a eng |h ita | |
| 049 | |a DE-355 |a DE-703 |a DE-83 | ||
| 050 | 0 | |a QA3 | |
| 082 | 1 | |a 510 |2 12 | |
| 084 | |a SI 380 |0 (DE-625)143137: |2 rvk | ||
| 084 | |a 01A60 |2 msc | ||
| 084 | |a 14-03 |2 msc | ||
| 100 | 1 | |a Brigaglia, Aldo |e Verfasser |4 aut | |
| 245 | 1 | 0 | |a Italian algebraic geometry between the two world wars |c A. Brigaglia and C. Ciliberto |
| 264 | 1 | |a Kingston |b Queen's Univ. |c 1995 | |
| 300 | |a VIII, 223 S. |b Ill. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a Queen's papers in pure and applied mathematics |v 100 | |
| 500 | |a Aus dem Ital. übers. | ||
| 648 | 4 | |a Geschichte 1900-2000 | |
| 648 | 7 | |a Geschichte 1918-1939 |2 gnd |9 rswk-swf | |
| 650 | 7 | |a Géométrie algébrique |2 ram | |
| 650 | 4 | |a Geschichte | |
| 650 | 4 | |a Geometry, Algebraic |z Italy |x History |y 20th century | |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 651 | 4 | |a Italien | |
| 651 | 7 | |a Italien |0 (DE-588)4027833-5 |2 gnd |9 rswk-swf | |
| 689 | 0 | 0 | |a Italien |0 (DE-588)4027833-5 |D g |
| 689 | 0 | 1 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | 2 | |a Geschichte 1918-1939 |A z |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Ciliberto, Ciro |d 1950- |e Verfasser |0 (DE-588)130563080 |4 aut | |
| 830 | 0 | |a Queen's papers in pure and applied mathematics |v 100 |w (DE-604)BV001889470 |9 100 | |
| 856 | 4 | 2 | |m HBZ Datenaustausch |q application/pdf |u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007192241&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |3 Inhaltsverzeichnis |
| 943 | 1 | |a oai:aleph.bib-bvb.de:BVB01-007192241 | |
Datensatz im Suchindex
| _version_ | 1820150160713318400 |
|---|---|
| adam_text |
Contents
Preface to the English translation iii
Preface v
1 Algebraic Geometry in Italy From Its Origins Until 1914 1
1.1 The Origins: L. Cremona and His School 1
1.2 The German School in the second half of the nineteenth cen¬
tury: Clebsch, Brill and Noether 8
1.3 The legacy of Noether: Veronese, Bertini and C. Segre . 12
1.4 Relationships with the French School 20
1.5 Castelnuovo, Enriques, Severi: the major contributions be¬
fore 1914 24
2 The Classical Lode: Severi and his school 33
2.1 The flowering of the school (an overview) 33
2.2 Francesco Severi and his role in Italian mathematics between
the two world wars 36
2.3 Severi's work on the foundations of algebraic geometry . 41
2.4 Classification of curves, moduli spaces, continuous systems . 43
2.5 The series of equivalence and the problem of the base . 47
2.6 The foundations of enumerative geometry according to Sev¬
eri, and the polemics with Giambelli and Enriques 55
2.7 Severi and the emergence of new methods in the international
camp 68
2.8 Severi the treatiser 77
3 Francesco Severi's School 83
3.1 Beniamino Segre's work 83
3.2 The work of Annibale Comessatti 89
3.3 The work of Giacomo Albanese 91
i
3.4 Other students of Severi 94
4 Enriques and his school 97
4.1 The classification of surfaces 97
4.2 The expository work of Enriques and his school 103
4.3 Enriques' outstanding students 109
4.4 Zariski and Enriques' school 117
5 The classification of varieties 125
5.1 Projective geometry and the birational classification of varieties 125
5.2 Birational geometry and related foundational problems . . . 126
5.3 The projective geometry and projective differential geometry
of varieties 131
6 Abelian varieties and Riemann matrices 141
6.1 Introductory considerations 141
6.2 The work of Scorza and his school 143
6.3 Rosati's work and the theory of correspondences 151
6.4 After Scorza and Rosati: contributions and reactions of other
exponents of the school 153
6.5 Lefschetz and Albert, and their relationships with the Italian
school 159
6.6 The work of Fabio Conforto 164
6.7 Some of Severi's contributions to the theory of correspon¬
dences and to abelian varieties 167
7 Problems of reality 169
7.1 Comessatti's contributions 169
7.2 Brusotti and the Pavesian school 174
7.3 Other contributions 176
8 Questions of foundations and didactics 179
8.1 Enriques and the foundations of geometry 179
8.2 Geometry in elementary mathematics 186
8.3 Geometry in didactics and in the Gentile reform 192
9 Conclusions 197
9.1 The congresses at the beginning of the forties: an attempted
approach? 197
9.2 Summary remarks 200
ii |
| any_adam_object | 1 |
| author | Brigaglia, Aldo Ciliberto, Ciro 1950- |
| author_GND | (DE-588)130563080 |
| author_facet | Brigaglia, Aldo Ciliberto, Ciro 1950- |
| author_role | aut aut |
| author_sort | Brigaglia, Aldo |
| author_variant | a b ab c c cc |
| building | Verbundindex |
| bvnumber | BV010769859 |
| callnumber-first | Q - Science |
| callnumber-label | QA3 |
| callnumber-raw | QA3 |
| callnumber-search | QA3 |
| callnumber-sort | QA 13 |
| callnumber-subject | QA - Mathematics |
| classification_rvk | SI 380 |
| ctrlnum | (OCoLC)34426813 (DE-599)BVBBV010769859 |
| dewey-full | 510 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 510 - Mathematics |
| dewey-raw | 510 |
| dewey-search | 510 |
| dewey-sort | 3510 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| era | Geschichte 1900-2000 Geschichte 1918-1939 gnd |
| era_facet | Geschichte 1900-2000 Geschichte 1918-1939 |
| format | Book |
| fullrecord | <?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>00000nam a2200000 cb4500</leader><controlfield tag="001">BV010769859</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="007">t|</controlfield><controlfield tag="008">960524s1995 xx a||| |||| 00||| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">0889116997</subfield><subfield code="9">0-88911-699-7</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)34426813</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV010769859</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield><subfield code="e">rakddb</subfield></datafield><datafield tag="041" ind1="1" ind2=" "><subfield code="a">eng</subfield><subfield code="h">ita</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-355</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="050" ind1=" " ind2="0"><subfield code="a">QA3</subfield></datafield><datafield tag="082" ind1="1" ind2=" "><subfield code="a">510</subfield><subfield code="2">12</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 380</subfield><subfield code="0">(DE-625)143137:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">01A60</subfield><subfield code="2">msc</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">14-03</subfield><subfield code="2">msc</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Brigaglia, Aldo</subfield><subfield code="e">Verfasser</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Italian algebraic geometry between the two world wars</subfield><subfield code="c">A. Brigaglia and C. Ciliberto</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Kingston</subfield><subfield code="b">Queen's Univ.</subfield><subfield code="c">1995</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">VIII, 223 S.</subfield><subfield code="b">Ill.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">n</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">nc</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Queen's papers in pure and applied mathematics</subfield><subfield code="v">100</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Aus dem Ital. übers.</subfield></datafield><datafield tag="648" ind1=" " ind2="4"><subfield code="a">Geschichte 1900-2000</subfield></datafield><datafield tag="648" ind1=" " ind2="7"><subfield code="a">Geschichte 1918-1939</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1=" " ind2="7"><subfield code="a">Géométrie algébrique</subfield><subfield code="2">ram</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geschichte</subfield></datafield><datafield tag="650" ind1=" " ind2="4"><subfield code="a">Geometry, Algebraic</subfield><subfield code="z">Italy</subfield><subfield code="x">History</subfield><subfield code="y">20th century</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="651" ind1=" " ind2="4"><subfield code="a">Italien</subfield></datafield><datafield tag="651" ind1=" " ind2="7"><subfield code="a">Italien</subfield><subfield code="0">(DE-588)4027833-5</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Italien</subfield><subfield code="0">(DE-588)4027833-5</subfield><subfield code="D">g</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Algebraische Geometrie</subfield><subfield code="0">(DE-588)4001161-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Geschichte 1918-1939</subfield><subfield code="A">z</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="700" ind1="1" ind2=" "><subfield code="a">Ciliberto, Ciro</subfield><subfield code="d">1950-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)130563080</subfield><subfield code="4">aut</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Queen's papers in pure and applied mathematics</subfield><subfield code="v">100</subfield><subfield code="w">(DE-604)BV001889470</subfield><subfield code="9">100</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">HBZ Datenaustausch</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007192241&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-007192241</subfield></datafield></record></collection> |
| geographic | Italien Italien (DE-588)4027833-5 gnd |
| geographic_facet | Italien |
| id | DE-604.BV010769859 |
| illustrated | Illustrated |
| indexdate | 2025-01-02T15:07:40Z |
| institution | BVB |
| isbn | 0889116997 |
| language | English Italian |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-007192241 |
| oclc_num | 34426813 |
| open_access_boolean | |
| owner | DE-355 DE-BY-UBR DE-703 DE-83 |
| owner_facet | DE-355 DE-BY-UBR DE-703 DE-83 |
| physical | VIII, 223 S. Ill. |
| publishDate | 1995 |
| publishDateSearch | 1995 |
| publishDateSort | 1995 |
| publisher | Queen's Univ. |
| record_format | marc |
| series | Queen's papers in pure and applied mathematics |
| series2 | Queen's papers in pure and applied mathematics |
| spelling | Brigaglia, Aldo Verfasser aut Italian algebraic geometry between the two world wars A. Brigaglia and C. Ciliberto Kingston Queen's Univ. 1995 VIII, 223 S. Ill. txt rdacontent n rdamedia nc rdacarrier Queen's papers in pure and applied mathematics 100 Aus dem Ital. übers. Geschichte 1900-2000 Geschichte 1918-1939 gnd rswk-swf Géométrie algébrique ram Geschichte Geometry, Algebraic Italy History 20th century Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Italien Italien (DE-588)4027833-5 gnd rswk-swf Italien (DE-588)4027833-5 g Algebraische Geometrie (DE-588)4001161-6 s Geschichte 1918-1939 z DE-604 Ciliberto, Ciro 1950- Verfasser (DE-588)130563080 aut Queen's papers in pure and applied mathematics 100 (DE-604)BV001889470 100 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007192241&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Brigaglia, Aldo Ciliberto, Ciro 1950- Italian algebraic geometry between the two world wars Queen's papers in pure and applied mathematics Géométrie algébrique ram Geschichte Geometry, Algebraic Italy History 20th century Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4001161-6 (DE-588)4027833-5 |
| title | Italian algebraic geometry between the two world wars |
| title_auth | Italian algebraic geometry between the two world wars |
| title_exact_search | Italian algebraic geometry between the two world wars |
| title_full | Italian algebraic geometry between the two world wars A. Brigaglia and C. Ciliberto |
| title_fullStr | Italian algebraic geometry between the two world wars A. Brigaglia and C. Ciliberto |
| title_full_unstemmed | Italian algebraic geometry between the two world wars A. Brigaglia and C. Ciliberto |
| title_short | Italian algebraic geometry between the two world wars |
| title_sort | italian algebraic geometry between the two world wars |
| topic | Géométrie algébrique ram Geschichte Geometry, Algebraic Italy History 20th century Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Géométrie algébrique Geschichte Geometry, Algebraic Italy History 20th century Algebraische Geometrie Italien |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=007192241&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV001889470 |
| work_keys_str_mv | AT brigagliaaldo italianalgebraicgeometrybetweenthetwoworldwars AT cilibertociro italianalgebraicgeometrybetweenthetwoworldwars |