Combinatorial Aspects of Commutative Algebra and Algebraic Geometry -

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry

The Abel Symposium 2009
Buch | Softcover
XIV, 174 Seiten
2013 | 2011
Springer Berlin (Verlag)
978-3-642-26828-1 (ISBN)
171,19 inkl. MwSt
Based on The Abel Symposium 2009 held in Voss, Norway, this volume features talks by leading researchers in the field. Topics include syzygies, tropical geometry, Boij-Söderberg theory, Schubert calculus, and quiver varieties.

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.

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.

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.

Erscheint lt. Verlag 15.7.2013
Reihe/Serie Abel Symposia
Zusatzinfo XIV, 174 p.
Verlagsort Berlin
Sprache englisch
Maße 155 x 235 mm
Gewicht 294 g
Themenwelt Mathematik / Informatik Mathematik Algebra
Mathematik / Informatik Mathematik Geometrie / Topologie
Mathematik / Informatik Mathematik Graphentheorie
Schlagworte Algebraic Geometry • combinatorics • Commutative algebra
ISBN-10 3-642-26828-5 / 3642268285
ISBN-13 978-3-642-26828-1 / 9783642268281
Zustand Neuware
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