Combinatorial Aspects of Commutative Algebra and Algebraic Geometry [electronic resource] : The Abel Symposium 2009 / edited by Gunnar Fløystad, Trygve Johnsen, Andreas Leopold Knutsen.

Contributor(s): Fløystad, Gunnar [editor.] | Johnsen, Trygve [editor.] | Knutsen, Andreas Leopold [editor.] | SpringerLink (Online service)
Material type: TextTextSeries: Abel Symposia: 6Publisher: Berlin, Heidelberg : Springer Berlin Heidelberg, 2011Description: XIV, 174 p. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9783642194924Subject(s): Mathematics | Algebraic geometry | Commutative algebra | Commutative rings | Combinatorics | Mathematics | Commutative Rings and Algebras | Algebraic Geometry | CombinatoricsAdditional physical formats: Printed edition:: No titleDDC classification: 512.44 LOC classification: QA251.3Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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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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.

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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