Titlebook: Combinatorial Aspects of Commutative Algebra and Algebraic Geometry; The Abel Symposium 2 Gunnar Fl?ystad,Trygve Johnsen,Andreas Leopold Kn

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The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two,pe when taking total degrees. If the differences, . and ., of these total degrees are relatively prime, the extremal rays are parametrized by order ideals in ?. contained in the region .+.<(.?1)(.?1). We also consider some examples concerning artinian modules of codimension three.

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植物群

Modules with 1-Dimensional Socle and Components of Lusztig Quiver Varieties in Type A,We study modules with 1-dimensional socle for preprojective algebras for type A quivers. In particular, we classify such modules, determine all homomorphisms between them, and then explain how they may be used to describe the components of Lusztig quiver varieties.

Leaven

The Cone of Betti Diagrams of Bigraded Artinian Modules of Codimension Two,pe when taking total degrees. If the differences, . and ., of these total degrees are relatively prime, the extremal rays are parametrized by order ideals in ?. contained in the region .+.<(.?1)(.?1). We also consider some examples concerning artinian modules of codimension three.

Euthyroid

ellagic-acid

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