Ulrich bundles: from commutative algebra to algebraic geometry
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin ; Boston
De Gruyter
[2021]
|
| Series: | De Gruyter Studies in mathematics
Volume 77 |
| Subjects: | |
| Online Access: | https://www.degruyter.com/books/9783110645408 Inhaltsverzeichnis |
| Physical Description: | xiv, 261 Seiten Illustrationen 24 cm x 17 cm |
| ISBN: | 9783110645408 3110645408 |
Staff View
MARC
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| 100 | 1 | |a Costa, Laura |e Verfasser |0 (DE-588)1234601141 |4 aut | |
| 245 | 1 | 0 | |a Ulrich bundles |b from commutative algebra to algebraic geometry |c Laura Costa, Rosa María Miró-Roig, Joan Pons-Llopis |
| 264 | 1 | |a Berlin ; Boston |b De Gruyter |c [2021] | |
| 300 | |a xiv, 261 Seiten |b Illustrationen |c 24 cm x 17 cm | ||
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| 653 | |a Kommutative Algebra | ||
| 653 | |a Projektive Varietät | ||
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Record in the Search Index
| _version_ | 1804182568888696832 |
|---|---|
| adam_text | CONTENTS
INTRODUCTION
-
IX
ACKNOWLEDGMENT
-
XV
NOTATION
-
XVII
1
1.1
1.2
1.3
1.4
1.5
1.6
BACKGROUND
-
1
DEFINITION
AND
EXAMPLES
OF
VECTOR
BUNDLES
-
1
VECTOR
BUNDLES
VS
LOCALLY
FREE
SHEAVES
-
4
THEOREMS
A
AND
B
OF
SERRE
AND
SERRE
DUALITY
-
5
CHERN
CLASSES
-
6
STABILITY
AND
MODULI
SPACES
-
9
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
14
2
2.1
2.2
2.3
2.4
2.5
2.6
VECTOR
BUNDLES
WITHOUT
INTERMEDIATE
COHOMOLOGY
-
17
DEFINITION
AND
EXAMPLES
OFACM
BUNDLES
-
17
ACM
BUNDLES
ON
P :
HORROCKS
THEOREM
-
24
ACM
BUNDLES
ON
Q
N
:
KNORRER
S
THEOREM
----
25
ACM
BUNDLES
ON
GRASSMANN
VARIETIES
-
29
ACM
BUNDLES
OF
LOW
RANK
ON
HYPERSURFACES
-
36
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
45
3
3.1
3.2
3.3
3.4
ULRICH
BUNDLES
-
47
HISTORY
OF
ULRICH
BUNDLES
----
48
DEFINITION,
FIRST
EXAMPLES,
AND
CHARACTERIZATION
-
49
PROPERTIES
OF
ULRICH
BUNDLES
-
56
ON
THE
EXISTENCE
OF
ULRICH
BUNDLES:
FIRST
RESULTS
TOWARDS
EISENBUD-SCHREYER
CONJECTURE
-
64
3.5
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
68
4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
ULRICH
BUNDLES
ON
COMPLETE
INTERSECTIONS
-
69
DETERMINANTAL
REPRESENTATION
OF
HOMOGENEOUS
FORMS
-
69
ULRICH
BUNDLES
ON
HYPERSURFACES
IN
P ,
N
3
-
71
ULRICH
BUNDLES
ON
COMPLETE
INTERSECTIONS
-
80
LOW
RANK
ULRICH
BUNDLES
ON
A
GENERAL
SURFACE
IN
P
3
-
82
ULRICH
BUNDLES
ON
HYPERSURFACES
VIA
REPRESENTATION
THEORY
-
87
ULRICH
BUNDLES
ON
PROJECTIVE
VARIETIES
AND
CAYLEY-CHOW
FORMS
-
91
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
-
96
BIBLIOGRAPHY
-
249
VIII
-
CONTENTS
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
ULRICH
BUNDLES
ON
SURFACES
-
99
CONSTRUCTIONS
AND
PRELIMINARIES
----
99
MINIMAL
SURFACES
WITH
K
=
-OO
-
108
NONMINIMAL
SURFACES
WITH
K
=
-OO
-
128
SURFACES
WITH
K
=
0
-
139
EXAMPLES
OF
SURFACES
WITH
POSITIVE
K
CARRYING
AN
ULRICH
BUNDLE
-
142
ULRICHNESSAND
CHANGE
OF
VERY
AMPLE
LINE
BUNDLES
----
151
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
154
6
6.1
6.2
6.3
6.4
6.5
INTERSECTION
OF
TWO
QUADRICS:
AN
EXAMPLE
-
157
COMPLETE
INTERSECTIONS
OF
TWO
QUADRICS
AND
CURVES
OF
GENUS
TWO
----
158
INTRODUCTION
TO
RAYNAUD
BUNDLES
----
161
ULRICH
BUNDLES
ON
COMPLETE
INTERSECTIONS
OF
TWO
QUADRICS
-
163
RANK-TWO
ULRICH
BUNDLES
ON
FANO
THREEFOLDS
----
168
FINAL
COMMENTS
AND
ADDITIONAL
READING
----
172
7
7.1
7.2
7.3
7.4
ULRICH
BUNDLES
ON
HIGHER-DIMENSIONAL
VARIETIES
-
173
ULRICH
BUNDLES
ON
SEGRE
VARIETIES
----
174
ULRICH
BUNDLES
ON
GRASSMANN
VARIETIES
-
188
ULRICH
BUNDLES
ON
FLAG
VARIETIES
----
197
FINAL
COMMENTS
AND
ADDITIONAL
READING
----
236
A
CATEGORIES
AND
DERIVED
CATEGORIES
-
239
INDEX
-
257
|
| adam_txt |
CONTENTS
INTRODUCTION
-
IX
ACKNOWLEDGMENT
-
XV
NOTATION
-
XVII
1
1.1
1.2
1.3
1.4
1.5
1.6
BACKGROUND
-
1
DEFINITION
AND
EXAMPLES
OF
VECTOR
BUNDLES
-
1
VECTOR
BUNDLES
VS
LOCALLY
FREE
SHEAVES
-
4
THEOREMS
A
AND
B
OF
SERRE
AND
SERRE
DUALITY
-
5
CHERN
CLASSES
-
6
STABILITY
AND
MODULI
SPACES
-
9
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
14
2
2.1
2.2
2.3
2.4
2.5
2.6
VECTOR
BUNDLES
WITHOUT
INTERMEDIATE
COHOMOLOGY
-
17
DEFINITION
AND
EXAMPLES
OFACM
BUNDLES
-
17
ACM
BUNDLES
ON
P":
HORROCKS
'
THEOREM
-
24
ACM
BUNDLES
ON
Q
N
:
KNORRER
'
S
THEOREM
----
25
ACM
BUNDLES
ON
GRASSMANN
VARIETIES
-
29
ACM
BUNDLES
OF
LOW
RANK
ON
HYPERSURFACES
-
36
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
45
3
3.1
3.2
3.3
3.4
ULRICH
BUNDLES
-
47
HISTORY
OF
ULRICH
BUNDLES
----
48
DEFINITION,
FIRST
EXAMPLES,
AND
CHARACTERIZATION
-
49
PROPERTIES
OF
ULRICH
BUNDLES
-
56
ON
THE
EXISTENCE
OF
ULRICH
BUNDLES:
FIRST
RESULTS
TOWARDS
EISENBUD-SCHREYER
CONJECTURE
-
64
3.5
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
68
4
4.1
4.2
4.3
4.4
4.5
4.6
4.7
ULRICH
BUNDLES
ON
COMPLETE
INTERSECTIONS
-
69
DETERMINANTAL
REPRESENTATION
OF
HOMOGENEOUS
FORMS
-
69
ULRICH
BUNDLES
ON
HYPERSURFACES
IN
P",
N
3
-
71
ULRICH
BUNDLES
ON
COMPLETE
INTERSECTIONS
-
80
LOW
RANK
ULRICH
BUNDLES
ON
A
GENERAL
SURFACE
IN
P
3
-
82
ULRICH
BUNDLES
ON
HYPERSURFACES
VIA
REPRESENTATION
THEORY
-
87
ULRICH
BUNDLES
ON
PROJECTIVE
VARIETIES
AND
CAYLEY-CHOW
FORMS
-
91
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
-
96
BIBLIOGRAPHY
-
249
VIII
-
CONTENTS
5
5.1
5.2
5.3
5.4
5.5
5.6
5.7
ULRICH
BUNDLES
ON
SURFACES
-
99
CONSTRUCTIONS
AND
PRELIMINARIES
----
99
MINIMAL
SURFACES
WITH
K
=
-OO
-
108
NONMINIMAL
SURFACES
WITH
K
=
-OO
-
128
SURFACES
WITH
K
=
0
-
139
EXAMPLES
OF
SURFACES
WITH
POSITIVE
K
CARRYING
AN
ULRICH
BUNDLE
-
142
ULRICHNESSAND
CHANGE
OF
VERY
AMPLE
LINE
BUNDLES
----
151
FINAL
COMMENTS
AND
ADDITIONAL
READING
-
154
6
6.1
6.2
6.3
6.4
6.5
INTERSECTION
OF
TWO
QUADRICS:
AN
EXAMPLE
-
157
COMPLETE
INTERSECTIONS
OF
TWO
QUADRICS
AND
CURVES
OF
GENUS
TWO
----
158
INTRODUCTION
TO
RAYNAUD
BUNDLES
----
161
ULRICH
BUNDLES
ON
COMPLETE
INTERSECTIONS
OF
TWO
QUADRICS
-
163
RANK-TWO
ULRICH
BUNDLES
ON
FANO
THREEFOLDS
----
168
FINAL
COMMENTS
AND
ADDITIONAL
READING
----
172
7
7.1
7.2
7.3
7.4
ULRICH
BUNDLES
ON
HIGHER-DIMENSIONAL
VARIETIES
-
173
ULRICH
BUNDLES
ON
SEGRE
VARIETIES
----
174
ULRICH
BUNDLES
ON
GRASSMANN
VARIETIES
-
188
ULRICH
BUNDLES
ON
FLAG
VARIETIES
----
197
FINAL
COMMENTS
AND
ADDITIONAL
READING
----
236
A
CATEGORIES
AND
DERIVED
CATEGORIES
-
239
INDEX
-
257 |
| any_adam_object | 1 |
| any_adam_object_boolean | 1 |
| author | Costa, Laura Miró-Roig, Rosa María Pons-Llopis, Joan |
| author_GND | (DE-588)1234601141 (DE-588)1157342833 (DE-588)1234603764 |
| author_facet | Costa, Laura Miró-Roig, Rosa María Pons-Llopis, Joan |
| author_role | aut aut aut |
| author_sort | Costa, Laura |
| author_variant | l c lc r m m r rmm rmmr j p l jpl |
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| bvnumber | BV047347686 |
| ctrlnum | (OCoLC)1258969278 (DE-599)DNB1225495318 |
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| id | DE-604.BV047347686 |
| illustrated | Illustrated |
| index_date | 2024-07-03T17:36:39Z |
| indexdate | 2024-07-10T09:09:38Z |
| institution | BVB |
| institution_GND | (DE-588)10095502-2 |
| isbn | 9783110645408 3110645408 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-032749948 |
| oclc_num | 1258969278 |
| open_access_boolean | |
| owner | DE-29T |
| owner_facet | DE-29T |
| physical | xiv, 261 Seiten Illustrationen 24 cm x 17 cm |
| publishDate | 2021 |
| publishDateSearch | 2021 |
| publishDateSort | 2021 |
| publisher | De Gruyter |
| record_format | marc |
| series | De Gruyter Studies in mathematics |
| series2 | De Gruyter Studies in mathematics |
| spelling | Costa, Laura Verfasser (DE-588)1234601141 aut Ulrich bundles from commutative algebra to algebraic geometry Laura Costa, Rosa María Miró-Roig, Joan Pons-Llopis Berlin ; Boston De Gruyter [2021] xiv, 261 Seiten Illustrationen 24 cm x 17 cm txt rdacontent n rdamedia nc rdacarrier De Gruyter Studies in mathematics Volume 77 Vektorraumbündel (DE-588)4187470-5 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Arithmetische Geometrie Kommutative Algebra Projektive Varietät Vektorraumbündel Vektorraumbündel (DE-588)4187470-5 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Miró-Roig, Rosa María Verfasser (DE-588)1157342833 aut Pons-Llopis, Joan Verfasser (DE-588)1234603764 aut Walter de Gruyter GmbH & Co. KG (DE-588)10095502-2 pbl Erscheint auch als Online-Ausgabe 9783110647686 Erscheint auch als Online-Ausgabe 9783110645804 De Gruyter Studies in mathematics Volume 77 (DE-604)BV000005407 77 X:MVB https://www.degruyter.com/books/9783110645408 DNB Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032749948&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis 1\p vlb 20210121 DE-101 https://d-nb.info/provenance/plan#vlb |
| spellingShingle | Costa, Laura Miró-Roig, Rosa María Pons-Llopis, Joan Ulrich bundles from commutative algebra to algebraic geometry De Gruyter Studies in mathematics Vektorraumbündel (DE-588)4187470-5 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4187470-5 (DE-588)4001161-6 |
| title | Ulrich bundles from commutative algebra to algebraic geometry |
| title_auth | Ulrich bundles from commutative algebra to algebraic geometry |
| title_exact_search | Ulrich bundles from commutative algebra to algebraic geometry |
| title_exact_search_txtP | Ulrich bundles from commutative algebra to algebraic geometry |
| title_full | Ulrich bundles from commutative algebra to algebraic geometry Laura Costa, Rosa María Miró-Roig, Joan Pons-Llopis |
| title_fullStr | Ulrich bundles from commutative algebra to algebraic geometry Laura Costa, Rosa María Miró-Roig, Joan Pons-Llopis |
| title_full_unstemmed | Ulrich bundles from commutative algebra to algebraic geometry Laura Costa, Rosa María Miró-Roig, Joan Pons-Llopis |
| title_short | Ulrich bundles |
| title_sort | ulrich bundles from commutative algebra to algebraic geometry |
| title_sub | from commutative algebra to algebraic geometry |
| topic | Vektorraumbündel (DE-588)4187470-5 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Vektorraumbündel Algebraische Geometrie |
| url | https://www.degruyter.com/books/9783110645408 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=032749948&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV000005407 |
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