Commutative Algebra And Its Interactions To Algebraic Geometry: Viasm 2013-2014

August 3, 2018|
Commutative Algebra And Its Interactions To Algebraic Geometry: Viasm 2013-2014 by Nguyen Tu Cuong
$70.95
Hardcover
Earn 355 plum® points
Buy Online
Ship to an address
Free shipping on orders over $35
Pick up in store
To see if pickup is available,
Buy In Store
Not sold in stores
Prices and offers may vary in store

about

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.
1. Notes on Weyl Algebras and D-modules.- 2. Inverse Systems of Local Rings.- 3. Lectures on the Representation Type of a Projective Variety.- 4. Simplicial Toric Varieties which are set-theoretic Complete Intersections.
Loading
Title:Commutative Algebra And Its Interactions To Algebraic Geometry: Viasm 2013-2014
Format:Hardcover
Product dimensions:258 pages, 9.25 X 6.1 X 0 in
Shipping dimensions:258 pages, 9.25 X 6.1 X 0 in
Published:August 3, 2018
Publisher:Springer Nature
Language:English
Appropriate for ages:All ages
ISBN - 13:9783319755649

Look for similar items by category:

Recently Viewed
|