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Algebraic and Geometric Combinatorics
 
Edited by: Christos A. Athanasiadis University of Athens, Greece
Victor V. Batyrev Universität Tübingen, Tübingen, Germany
Dimitrios I. Dais University of Crete, Greece
Martin Henk Otto von Guericke University, Magdeburg, Germany
Francisco Santos University of Cantabria, Santander, Spain
Algebraic and Geometric Combinatorics
Softcover ISBN:  978-0-8218-4080-1
Product Code:  CONM/423
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8102-6
Product Code:  CONM/423.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4080-1
eBook: ISBN:  978-0-8218-8102-6
Product Code:  CONM/423.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Algebraic and Geometric Combinatorics
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Algebraic and Geometric Combinatorics
Edited by: Christos A. Athanasiadis University of Athens, Greece
Victor V. Batyrev Universität Tübingen, Tübingen, Germany
Dimitrios I. Dais University of Crete, Greece
Martin Henk Otto von Guericke University, Magdeburg, Germany
Francisco Santos University of Cantabria, Santander, Spain
Softcover ISBN:  978-0-8218-4080-1
Product Code:  CONM/423
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-8102-6
Product Code:  CONM/423.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-4080-1
eBook ISBN:  978-0-8218-8102-6
Product Code:  CONM/423.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 4232007; 324 pp
    MSC: Primary 05; 52; Secondary 14; 20;

    This volume contains original research and survey articles stemming from the Euroconference “Algebraic and Geometric Combinatorics”. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen–Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan–Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.

    Readership

    Graduate students and research mathematicians interested in various topics in combinatorics.

  • Table of Contents
     
     
    • Articles
    • Victor V. Batyrev — Lattice polytopes with a given $h^*$-polynomial [ MR 2298752 ]
    • Aldo Conca, Serkan Hoşten and Rekha R. Thomas — Nice initial complexes of some classical ideals [ MR 2298753 ]
    • Veronica Crispin Quiñonez — Ratliff-Rush monomial ideals [ MR 2298754 ]
    • Péter Csorba and Frank H. Lutz — Graph coloring manifolds [ MR 2298755 ]
    • Dimitrios I. Dais — Geometric combinatorics in the study of compact toric surfaces [ MR 2298756 ]
    • Dimitrios I. Dais, Martin Henk and Günter M. Ziegler — On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimensions $\ge 4$ [ MR 2298757 ]
    • Peter Fiebig — Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs [ MR 2298758 ]
    • Gunnar Fløystad — Cohen-Macaulay cell complexes [ MR 2298759 ]
    • Dmitry N. Kozlov — Homology tests for graph colorings [ MR 2298760 ]
    • Peter McMullen — Polyhedra and polytopes: algebra and combinatorics [ MR 2298761 ]
    • Benjamin Nill — Classification of pseudo-symmetric simplicial reflexive polytopes [ MR 2298762 ]
    • Andreas Paffenholz and Axel Werner — Constructions for 4-polytopes and the cone of flag vectors [ MR 2298763 ]
    • Rade T. Živaljević — Groupoids in combinatorics—applications of a theory of local symmetries [ MR 2298764 ]
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 4232007; 324 pp
MSC: Primary 05; 52; Secondary 14; 20;

This volume contains original research and survey articles stemming from the Euroconference “Algebraic and Geometric Combinatorics”. The papers discuss a wide range of problems that illustrate interactions of combinatorics with other branches of mathematics, such as commutative algebra, algebraic geometry, convex and discrete geometry, enumerative geometry, and topology of complexes and partially ordered sets. Among the topics covered are combinatorics of polytopes, lattice polytopes, triangulations and subdivisions, Cohen–Macaulay cell complexes, monomial ideals, geometry of toric surfaces, groupoids in combinatorics, Kazhdan–Lusztig combinatorics, and graph colorings. This book is aimed at researchers and graduate students interested in various aspects of modern combinatorial theories.

Readership

Graduate students and research mathematicians interested in various topics in combinatorics.

  • Articles
  • Victor V. Batyrev — Lattice polytopes with a given $h^*$-polynomial [ MR 2298752 ]
  • Aldo Conca, Serkan Hoşten and Rekha R. Thomas — Nice initial complexes of some classical ideals [ MR 2298753 ]
  • Veronica Crispin Quiñonez — Ratliff-Rush monomial ideals [ MR 2298754 ]
  • Péter Csorba and Frank H. Lutz — Graph coloring manifolds [ MR 2298755 ]
  • Dimitrios I. Dais — Geometric combinatorics in the study of compact toric surfaces [ MR 2298756 ]
  • Dimitrios I. Dais, Martin Henk and Günter M. Ziegler — On the existence of crepant resolutions of Gorenstein abelian quotient singularities in dimensions $\ge 4$ [ MR 2298757 ]
  • Peter Fiebig — Kazhdan-Lusztig combinatorics via sheaves on Bruhat graphs [ MR 2298758 ]
  • Gunnar Fløystad — Cohen-Macaulay cell complexes [ MR 2298759 ]
  • Dmitry N. Kozlov — Homology tests for graph colorings [ MR 2298760 ]
  • Peter McMullen — Polyhedra and polytopes: algebra and combinatorics [ MR 2298761 ]
  • Benjamin Nill — Classification of pseudo-symmetric simplicial reflexive polytopes [ MR 2298762 ]
  • Andreas Paffenholz and Axel Werner — Constructions for 4-polytopes and the cone of flag vectors [ MR 2298763 ]
  • Rade T. Živaljević — Groupoids in combinatorics—applications of a theory of local symmetries [ MR 2298764 ]
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.