Connections between algebra, combinatorics, and geometry

Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometr...

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Other Authors: Cooper, Susan M.,, Sather-Wagstaff, Sean,, SpringerLink (Online service)
Format: eBook
Language: English
Published: New York : Springer, [2014]
Physical Description: 1 online resource.
Series: Springer proceedings in mathematics & statistics ; volume 76.
Subjects:
Summary: Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the Universi.
Item Description: Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the Universi.
Preface -- Differential Graded Commutative Algebra -- Secant Varieties -- Fat Points and Symbolic Powers -- An Introduction to Stanley-Reisner Rings -- Combinatorial Resolutions -- Geometric Properties of the Tor Algebra Structure for Trivariate Monomial Ideals -- Interactions Between Linear Algebra and Algebraic Geometry -- Fat Points -- Primary Decomposition of Certain Permanental Ideals.
Includes bibliographical references at the end of each chapters.
English.
Physical Description: 1 online resource.
Bibliography: Includes bibliographical references at the end of each chapters.
ISBN: 9781493906260
1493906267