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Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009 de Gunnar Fløystad

Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009: Abel Symposia, cartea 6

Editat de Gunnar Fløystad, Trygve Johnsen, Andreas Leopold Knutsen
en Limba Engleză Paperback – 15 iul 2013
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.
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Specificații

ISBN-13: 9783642268281
ISBN-10: 3642268285
Pagini: 188
Ilustrații: XIV, 174 p.
Dimensiuni: 155 x 235 x 15 mm
Greutate: 0.28 kg
Ediția:2011
Editura: Springer Berlin, Heidelberg
Colecția Springer
Seria Abel Symposia

Locul publicării:Berlin, Heidelberg, Germany

Public țintă

Research

Cuprins

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.

Notă biografică

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.

Textul de pe ultima copertă

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.

Caracteristici

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 Includes supplementary material: sn.pub/extras