Progress in commutative algebra. 1, Combinatorics and homology / edited by Christopher Francisco, Lee Klingler, Sean Sather-Wagstaff, [and] Janet C. Vassilev.
Francisco, Christopher, editor.; Klingler, Lee, 1955- editor.; Sather-Wagstaff, Sean, editor.; Vassilev, Janet Cowden, 1969- editor.; Floystad, Gunnar, author.; Geramita, A. V., author.; Harbourne, Brian, 1955- author.; Migliore, Juan C. (Juan Carlos), 1956- author.; Morey, Susan, author.; Villarreal, Rafael H., 1951- author.; Mermin, Jeff, author.; Clark, Timothy B. P., author.; Cooper, Susan M., author.; Roberts, Paul, 1945- author.; Yao, Yongwei, author.; Hummel, Livia, author.; Leuschke, Graham J., 1973- author.
2012
QA251.3 .P76 2012eb
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Details
Title
Progress in commutative algebra. 1, Combinatorics and homology / edited by Christopher Francisco, Lee Klingler, Sean Sather-Wagstaff, [and] Janet C. Vassilev.
ISBN
9783110250404 (electronic bk.)
3110250403 (electronic bk.)
9783112190203 (v. 1 ; hardcover + e-book, set)
3112190203 (v. 1 ; hardcover + e-book, set)
9783110250343 (electronic bk.)
3110250349 (electronic bk.)
1280570326
9781280570322
9786613599926
6613599921
3110250403 (electronic bk.)
9783112190203 (v. 1 ; hardcover + e-book, set)
3112190203 (v. 1 ; hardcover + e-book, set)
9783110250343 (electronic bk.)
3110250349 (electronic bk.)
1280570326
9781280570322
9786613599926
6613599921
Imprint
Berlin ; Boston : De Gruyter, ©2012.
Language
English
Language Note
In English.
Description
1 online resource (xii, 364 pages) : illustrations
Other Standard Identifiers
10.1515/9783110250404 doi
Call Number
QA251.3 .P76 2012eb
System Control No.
(OCoLC)795120008
Summary
This is the first of two volumes of a state-of-the-art survey article collection which originates from three commutative algebra sessions at the 2009 Fall Southeastern American Mathematical Society Meeting at Florida Atlantic University. The articles reach into diverse areas of commutative algebra and build a bridge between Noetherian and non-Noetherian commutative algebra. These volumes present current trends in two of the most active areas of commutative algebra: non-noetherian rings (factorization, ideal theory, integrality), and noetherian rings (the local theory, graded situation, and interactions with combinatorics and geometry). This volume contains combinatorial and homological surveys. The combinatorial papers document some of the increasing focus in commutative algebra recently on the interaction between algebra and combinatorics. Homological techniques have become indispensable tools for the study of noetherian rings. These ideas have yielded amazing levels of interaction with other fields like algebraic topology (via differential graded techniques as well as the foundations of homological algebra), analysis (via the study of D-modules), and combinatorics. The homological articles in this volume relate mostly to how homological techniques help us better understand rings and singularities both noetherian and non-noetherian.
Bibliography, etc. Note
Includes bibliographical references at chapter ends.
Formatted Contents Note
Boij-Söderberg theory : introduction and survey / Gunnar Fløystad
Hilbert functions of fat point subschemes of the plane : the two-fold way / Anthony V. Geramita, Brian Harbourne and Juan C. Migliore
Edge ideals : algebraic and combinatorial properties / Susan Morey and Rafael H. Villarreal
Three simplicial resolutions / Jeff Mermin
A minimal poset resolution of stable ideals / Timothy B.P. Clark
Subsets of complete intersections and the EGH conjecture / Susan M. Cooper
The homological conjectures / Paul C. Roberts
The compatibility, independence, and linear growth properties / Yongwei Yao
Recent progress in coherent rings : a homological perspective / Livia Hummel
Non-commutative crepant resolutions : scenes from categorical geometry / Graham J. Leuschke.
Hilbert functions of fat point subschemes of the plane : the two-fold way / Anthony V. Geramita, Brian Harbourne and Juan C. Migliore
Edge ideals : algebraic and combinatorial properties / Susan Morey and Rafael H. Villarreal
Three simplicial resolutions / Jeff Mermin
A minimal poset resolution of stable ideals / Timothy B.P. Clark
Subsets of complete intersections and the EGH conjecture / Susan M. Cooper
The homological conjectures / Paul C. Roberts
The compatibility, independence, and linear growth properties / Yongwei Yao
Recent progress in coherent rings : a homological perspective / Livia Hummel
Non-commutative crepant resolutions : scenes from categorical geometry / Graham J. Leuschke.
Access Note
Open Access
Copyright Information
This work is licensed under a Creative Commons license (https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode)
Digital File Characteristics
data file
Source of Description
Print version record.
Added Author
Francisco, Christopher, editor.
Klingler, Lee, 1955- editor.
Sather-Wagstaff, Sean, editor.
Vassilev, Janet Cowden, 1969- editor.
Floystad, Gunnar, author.
Geramita, A. V., author.
Harbourne, Brian, 1955- author.
Migliore, Juan C. (Juan Carlos), 1956- author.
Morey, Susan, author.
Villarreal, Rafael H., 1951- author.
Mermin, Jeff, author.
Clark, Timothy B. P., author.
Cooper, Susan M., author.
Roberts, Paul, 1945- author.
Yao, Yongwei, author.
Hummel, Livia, author.
Leuschke, Graham J., 1973- author.
Klingler, Lee, 1955- editor.
Sather-Wagstaff, Sean, editor.
Vassilev, Janet Cowden, 1969- editor.
Floystad, Gunnar, author.
Geramita, A. V., author.
Harbourne, Brian, 1955- author.
Migliore, Juan C. (Juan Carlos), 1956- author.
Morey, Susan, author.
Villarreal, Rafael H., 1951- author.
Mermin, Jeff, author.
Clark, Timothy B. P., author.
Cooper, Susan M., author.
Roberts, Paul, 1945- author.
Yao, Yongwei, author.
Hummel, Livia, author.
Leuschke, Graham J., 1973- author.
Series
Gruyter Proceedings in Mathematics.
Available in Other Form
Print version: Progress in commutative algebra 1, combinatorics and homology. Berlin ; Boston : De Gruyter, ©2012
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