Combinatorial Aspects of Commutative Algebra and Algebraic Geometry

The Abel Symposium 2009
2011
ISBN: 978-3-642-26828-1
Verlag: Springer

Buch, Englisch, 174 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 295 g

Reihe: Abel Symposia

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.

Zielgruppe

Research

Autoren/Hrsg.

Fløystad, Gunnar

Knutsen, Andreas Leopold

Johnsen, Trygve

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik
• Mathematik | Informatik Mathematik Geometrie Algebraische Geometrie

Inhaltsverzeichnis

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.

Über Autor(innen)

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.