Introduction to algebraic geometry and commutative algebra:
Saved in:
| Format: | Book |
|---|---|
| Language: | English |
| Published: |
Singapore [u.a.]
World Scientific [u.a.]
2010
|
| Series: | IISc lecture notes series
1 |
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | X, 207 S. |
| ISBN: | 9789814304566 9814304565 9789814307581 9814307580 |
Staff View
MARC
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| 245 | 1 | 0 | |a Introduction to algebraic geometry and commutative algebra |c Dilip P. Patil ; Uwe Storch |
| 264 | 1 | |a Singapore [u.a.] |b World Scientific [u.a.] |c 2010 | |
| 300 | |a X, 207 S. | ||
| 336 | |b txt |2 rdacontent | ||
| 337 | |b n |2 rdamedia | ||
| 338 | |b nc |2 rdacarrier | ||
| 490 | 1 | |a IISc lecture notes series |v 1 | |
| 650 | 4 | |a Commutative algebra | |
| 650 | 4 | |a Geometry, Algebraic | |
| 650 | 0 | 7 | |a Kommutative Algebra |0 (DE-588)4164821-3 |2 gnd |9 rswk-swf |
| 650 | 0 | 7 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |2 gnd |9 rswk-swf |
| 689 | 0 | 0 | |a Kommutative Algebra |0 (DE-588)4164821-3 |D s |
| 689 | 0 | 1 | |a Algebraische Geometrie |0 (DE-588)4001161-6 |D s |
| 689 | 0 | |5 DE-604 | |
| 700 | 1 | |a Patil, Dilip P. |e Sonstige |0 (DE-588)141751592 |4 oth | |
| 700 | 1 | |a Storch, Uwe |d 1940-2017 |e Sonstige |0 (DE-588)133710572 |4 oth | |
| 830 | 0 | |a IISc lecture notes series |v 1 |w (DE-604)BV036547023 |9 1 | |
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| 999 | |a oai:aleph.bib-bvb.de:BVB01-018986333 | ||
Record in the Search Index
| _version_ | 1804141161636429824 |
|---|---|
| adam_text | CONTENTS
SERIES
PREFACE
........
,
........... . . .
ν
PREFACE
..........................
vii
CHAPTER I
:
Finitely Generated Algebras
l.A Algebras over a Ring
..................1
l.B Factorization in Rings
..................2
I.C Noetherian Rings and Modules
..............4
1
,D Graded Rings and Modules
................7
l.E Integral Extensions
...................8
l.F Noether s Normalization Lemma and Its Consequences
... 12
CHAPTER
2:
The K-Spectrum and the Zariski Topology
2.A The
Aľ-Spectrum
of a
ЛГ
-Algebra
............
19
2.B
Affine
Algebraic Sets
.................21
2.
С
Strong Topology
...................32
CHAPTER
3 ;
Prime Spectra and Dimension
3.A The Prime Spectrum of a Commutative Ring
........41
3.B Dimension
......................48
CHAPTER
4:
Schemes
4.
A Sheaves of Rings
,........,,,,.,,.., 61
4.
В
Schemes
.....,.............., . 68
4.
С
Finiteness Conditions on Schemes
............
/ j
4.
D
Product of Schemes
.......... ........ 77
4.
E Affine
Morphisms
................... 83
CHAPTER
5 ;
Projective
Schemes
5.
A Project
ive
Schemes
..................87
5.
В
Main Theorem of Elimination
..............102
5.
С
Mapping Theorem of Chevalley
..............107
CHAPTER
6 :
Regular, Normal and Smooth Points
6.A Regular Local Rings
.................
Ill
6.B Normal Domains
................... 118
6.
С
Normalization of a Scheme
............... 125
6.D The Module of
Kahler
Differentials
........... 128
6.E Quasi-coherent Sheaves and the Sheaf of
Kahler
Differentials
. 139
CHAPTER?
:
Riemann-Roch Theorem
7.A Coherent Modules on
Projective
Schemes
......... 153
7.
В
Projective
Curves
................... 158
7.C The
Projective
Line
.................. 163
7.
D Riemann-Roch
Theorem for General Curves
........ 167
7.
E
Genus of
a Projective
Curve
.............. 175
References
.......................... 199
List of Symbols
....................... 201
Index
............................ 203
Biography of Authors
..................... 209
|
| any_adam_object | 1 |
| author_GND | (DE-588)141751592 (DE-588)133710572 |
| building | Verbundindex |
| bvnumber | BV036095829 |
| classification_rvk | SK 240 |
| classification_tum | MAT 130f MAT 140f |
| ctrlnum | (OCoLC)503072457 (DE-599)BVBBV036095829 |
| dewey-full | 516.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 516 - Geometry |
| dewey-raw | 516.35 |
| dewey-search | 516.35 |
| dewey-sort | 3516.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| format | Book |
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| id | DE-604.BV036095829 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-09T22:11:28Z |
| institution | BVB |
| isbn | 9789814304566 9814304565 9789814307581 9814307580 |
| language | English |
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| physical | X, 207 S. |
| publishDate | 2010 |
| publishDateSearch | 2010 |
| publishDateSort | 2010 |
| publisher | World Scientific [u.a.] |
| record_format | marc |
| series | IISc lecture notes series |
| series2 | IISc lecture notes series |
| spelling | Introduction to algebraic geometry and commutative algebra Dilip P. Patil ; Uwe Storch Singapore [u.a.] World Scientific [u.a.] 2010 X, 207 S. txt rdacontent n rdamedia nc rdacarrier IISc lecture notes series 1 Commutative algebra Geometry, Algebraic Kommutative Algebra (DE-588)4164821-3 gnd rswk-swf Algebraische Geometrie (DE-588)4001161-6 gnd rswk-swf Kommutative Algebra (DE-588)4164821-3 s Algebraische Geometrie (DE-588)4001161-6 s DE-604 Patil, Dilip P. Sonstige (DE-588)141751592 oth Storch, Uwe 1940-2017 Sonstige (DE-588)133710572 oth IISc lecture notes series 1 (DE-604)BV036547023 1 Digitalisierung UB Passau application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018986333&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Introduction to algebraic geometry and commutative algebra IISc lecture notes series Commutative algebra Geometry, Algebraic Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| subject_GND | (DE-588)4164821-3 (DE-588)4001161-6 |
| title | Introduction to algebraic geometry and commutative algebra |
| title_auth | Introduction to algebraic geometry and commutative algebra |
| title_exact_search | Introduction to algebraic geometry and commutative algebra |
| title_full | Introduction to algebraic geometry and commutative algebra Dilip P. Patil ; Uwe Storch |
| title_fullStr | Introduction to algebraic geometry and commutative algebra Dilip P. Patil ; Uwe Storch |
| title_full_unstemmed | Introduction to algebraic geometry and commutative algebra Dilip P. Patil ; Uwe Storch |
| title_short | Introduction to algebraic geometry and commutative algebra |
| title_sort | introduction to algebraic geometry and commutative algebra |
| topic | Commutative algebra Geometry, Algebraic Kommutative Algebra (DE-588)4164821-3 gnd Algebraische Geometrie (DE-588)4001161-6 gnd |
| topic_facet | Commutative algebra Geometry, Algebraic Kommutative Algebra Algebraische Geometrie |
| url | http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=018986333&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA |
| volume_link | (DE-604)BV036547023 |
| work_keys_str_mv | AT patildilipp introductiontoalgebraicgeometryandcommutativealgebra AT storchuwe introductiontoalgebraicgeometryandcommutativealgebra |