Abel Symposia

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry

The Abel Symposium 2009

Editors: Fløystad, Gunnar, Johnsen, Trygve, Knutsen, Andreas Leopold (Eds.)

  • Contains contributions on syzygies, Boij-Söderberg theory, tropical geometry, Schubert calculus, and quiver varieties
  • Contains an introductory survey by E.Miller on binomial ideals and their applications to hypergeometric series, combinatorial games and chemical reactions
  • Contributions by leading researchers on topics in commutative algebra and algebraic geometry related to combinatorics
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  • ISBN 978-3-642-26828-1
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About this book

The Abel Symposium 2009 "Combinatorial aspects of Commutative Algebra and Algebraic Geometry", held at Voss, Norway, featured talks by leading researchers in the field.

 This is the proceedings of the Symposium, presenting contributions on syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties. The volume also includes an introductory survey on binomial ideals with applications to hypergeometric series, combinatorial games and chemical reactions. 

 The contributions pose interesting problems, and offer up-to-date research on some of the most active fields of commutative algebra and algebraic geometry with a combinatorial flavour.

About the authors

Gunnar Fløystad has published on topics in algebraic geometry, combinatorial commutative algebra and non-commutative algebra.  Trygve Johnsen has published in algebraic geometry and coding theory, and is also interested   in  relations to  matroids. Andreas Leopold Knutsen has published in algebraic geometry, especially in geometry of curves and surfaces, and in birational geometry.

Table of contents (9 chapters)

  • The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two

    Boij, Mats (et al.)

    Pages 1-16

  • Koszul Cycles

    Bruns, Winfried (et al.)

    Pages 17-33

  • Boij–Söderberg Theory

    Eisenbud, David (et al.)

    Pages 35-48

  • Powers of Componentwise Linear Ideals

    Herzog, Jürgen (et al.)

    Pages 49-60

  • Modules with 1-Dimensional Socle and Components of Lusztig Quiver Varieties in Type A

    Kamnitzer, Joel (et al.)

    Pages 61-72

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-642-19492-4
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-642-19491-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-642-26828-1
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the ebook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
Book Subtitle
The Abel Symposium 2009
Editors
  • Gunnar Fløystad
  • Trygve Johnsen
  • Andreas Leopold Knutsen
Series Title
Abel Symposia
Series Volume
6
Copyright
2011
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-642-19492-4
DOI
10.1007/978-3-642-19492-4
Hardcover ISBN
978-3-642-19491-7
Softcover ISBN
978-3-642-26828-1
Series ISSN
2193-2808
Edition Number
1
Number of Pages
XIV, 174
Topics