The Resource Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014, edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG, (electronic resource)

Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014, edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG, (electronic resource)

Label
Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014
Title
Commutative Algebra and its Interactions to Algebraic Geometry
Title remainder
VIASM 2013–2014
Statement of responsibility
edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG
Contributor
Editor
Provider
Subject
Language
eng
Summary
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
Member of
Image bit depth
0
LC call number
QA251.3
Literary form
non fiction
http://library.link/vocab/relatedWorkOrContributorName
  • Cuong, Nguyen Tu
  • Hoa, Le Tuan
  • Trung, Ngo Viet
  • SpringerLink
Series statement
Lecture Notes in Mathematics,
Series volume
2210
http://library.link/vocab/subjectName
  • Mathematics
  • Geometry, Algebraic
  • Associative rings
  • Rings (Algebra)
  • Commutative algebra
  • Commutative rings
  • Differential equations, Partial
  • Mathematics
  • Commutative Rings and Algebras
  • Algebraic Geometry
  • Associative Rings and Algebras
  • Partial Differential Equations
Label
Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014, edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG, (electronic resource)
Instantiates
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
IX, 258 p. 17 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319755656
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-75565-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-75565-6
Label
Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014, edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG, (electronic resource)
Publication
Antecedent source
mixed
Carrier category
online resource
Carrier category code
cr
Carrier MARC source
rdacarrier
Color
not applicable
Content category
text
Content type code
txt
Content type MARC source
rdacontent
Contents
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
Dimensions
unknown
Extent
IX, 258 p. 17 illus., 1 illus. in color.
File format
multiple file formats
Form of item
electronic
Isbn
9783319755656
Level of compression
uncompressed
Media category
computer
Media MARC source
rdamedia
Media type code
c
Other control number
10.1007/978-3-319-75565-6
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-75565-6

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