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 book)
Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014, edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG, (electronic book)
Resource Information
The item Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014, edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.This item is available to borrow from 1 library branch.
Resource Information
The item Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014, edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG, (electronic book) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in University of Liverpool.
This item is available to borrow from 1 library branch.
 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 Dmodules, relating noncommutative 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 settheoretically? It systematically covers (and improves) recent results for the case of toric varieties
 Language
 eng
 Extent
 1 online resource (IX, 258 p. 17 illus., 1 illus. in color.)
 Contents

 1. Notes on Weyl Algebras and Dmodules
 2. Inverse Systems of Local Rings
 3. Lectures on the Representation Type of a Projective Variety
 4. Simplicial Toric Varieties which are settheoretic Complete Intersections
 Isbn
 9783319755656
 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
 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 Dmodules, relating noncommutative 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 settheoretically? It systematically covers (and improves) recent results for the case of toric varieties
 Cataloging source
 UCW
 Dewey number
 512.44
 Index
 no index present
 LC call number
 QA251.3
 Literary form
 non fiction
 Nature of contents
 dictionaries
 http://library.link/vocab/relatedWorkOrContributorDate
 1945
 http://library.link/vocab/relatedWorkOrContributorName

 Brodmann, M. P.
 Elias, J.
 MiróRoig, Rosa M.
 Morales, Marcel
 Cuong, Nguyen Tu
 Hoa, Le Tuan
 Trung, Ngo Viet
 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 book)
 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 Dmodules  2. Inverse Systems of Local Rings  3. Lectures on the Representation Type of a Projective Variety  4. Simplicial Toric Varieties which are settheoretic Complete Intersections
 Dimensions
 unknown
 Extent
 1 online resource (IX, 258 p. 17 illus., 1 illus. in color.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319755656
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319755656
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 on1049845120
 (OCoLC)1049845120
 Label
 Commutative Algebra and its Interactions to Algebraic Geometry : VIASM 2013–2014, edited by Nguyen Tu CUONG, Le Tuan HOA, Ngo Viet TRUNG, (electronic book)
 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 Dmodules  2. Inverse Systems of Local Rings  3. Lectures on the Representation Type of a Projective Variety  4. Simplicial Toric Varieties which are settheoretic Complete Intersections
 Dimensions
 unknown
 Extent
 1 online resource (IX, 258 p. 17 illus., 1 illus. in color.)
 File format
 multiple file formats
 Form of item
 online
 Isbn
 9783319755656
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code
 c
 Other control number
 10.1007/9783319755656
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number

 on1049845120
 (OCoLC)1049845120
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