Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
The Abel Symposium 2009
1st Edition
Published on 16. May 2011
XIV, 174 pages
978-3-642-19492-4 (ISBN)
Description
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.
More details
Other editions
Additional editions
Gunnar Fløystad | Trygve Johnsen | Andreas Leopold Knutsen
Combinatorial Aspects of Commutative Algebra and Algebraic Geometry
The Abel Symposium 2009
Book
05/2011
1st Edition
Springer
€160.49
Shipment within 7-9 days
Persons
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.
Content
The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two: M.Boij, G.Fløystad.- Koszul Cycles: W.Bruns, A.Conca, T.Römer.- Boij-Söderberg Theory: D.Eisenbud, F.-O.Schreyer.- Powers of Componentwise Linear Ideals: J.Herzog, T.Hibi, H.Ohsugi.- Modules With 1-Dimensional Socle and Components of Lusztig Quiver Varieties in Type A.: J.Kamnitzer, C.Sadanand.- Realization Spaces for Tropical Fans: E.Katz, S.Payne.- A Relation Between Symmetric Polynomials and the Algebra of Classes, Motivated by Equivariant Schubert Calculus: D.Laksov.- Theory and Applications of Lattice Point Methods for Binomial Ideals: E.Miller.- Equations Defining Secant Varieties: Geometry and Computation: J.Sidman, P. Vermeire.
