MARC details
000 -LEADER |
fixed length control field |
02168 a2200277 4500 |
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION |
fixed length control field |
191219b ||||| |||| 00| 0 eng d |
020 ## - INTERNATIONAL STANDARD BOOK NUMBER |
International Standard Book Number |
9783319755649 |
082 ## - DEWEY DECIMAL CLASSIFICATION NUMBER |
Classification number |
512.44 CUO |
100 ## - MAIN ENTRY--PERSONAL NAME |
Personal name |
Cuong, Nguyen Tu (ed.) |
245 ## - TITLE STATEMENT |
Title |
Commutative algebra and its interactions to algebraic geometry: VIASM 2013-2014 |
260 ## - PUBLICATION, DISTRIBUTION, ETC. (IMPRINT) |
Name of publisher, distributor, etc |
Springer, |
Date of publication, distribution, etc |
2018 |
Place of publication, distribution, etc |
Cham, Switzerland: |
300 ## - PHYSICAL DESCRIPTION |
Extent |
ix; 256p. |
Other physical details |
pb; |
Dimensions |
24 cm |
365 ## - TRADE PRICE |
Price type code |
EURO |
Price amount |
64.99 |
440 ## - SERIES STATEMENT/ADDED ENTRY--TITLE |
Title |
Lecture Notes in Mathematics, 0075-8434; Vol.2210 |
520 ## - SUMMARY, ETC. |
Summary, etc |
This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014. The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen -Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers (and improves) recent results for the case of toric varieties.<br/><br/> |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Mathematics. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Rings (Algebra) |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Associative Rings |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Geometry, Algebraic. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Commutative Algebra. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Commutative Rings. |
650 ## - SUBJECT ADDED ENTRY--TOPICAL TERM |
Topical term or geographic name as entry element |
Differential equations, Partial. |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Hoa, Le Tuan (ed.) |
700 ## - ADDED ENTRY--PERSONAL NAME |
Personal name |
Trung, Ngo Viet (ed.) |
942 ## - ADDED ENTRY ELEMENTS (KOHA) |
Source of classification or shelving scheme |
Dewey Decimal Classification |
Item type |
Books |