Combinatorial Aspects of Commutative Algebra and Algebraic Geometry: The Abel Symposium 2009
Gunnar Fl°ystad, Trygve Johnsen, Andreas Leopold Knutsen
Springer Science & Business Media, May 16, 2011 - Mathematics - 174 pages
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-S÷derberg 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
Powers of Componentwise Linear Ideals
Modules with 1Dimensional Socle and Components of Lusztig Quiver Varieties in Type A
Realization Spaces for Tropical Fans
A Relation Between Symmetric Polynomials and the Algebra of Classes Motivated by Equivariant Schubert Calculus
Theory and Applications of Lattice Point Methods for Binomial Ideals
Geometry and Computation