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A Desingularization of the Main Component of the Moduli Space of Genus-One Stable Maps into P n
Genus-One Stable Maps Moduli
2015/7/14
We construct a natural smooth compactication of the space of smooth genus-one curves with
k distinct points in a projective space. It can be viewed as an analogue of a well-known smooth
compactica...
Noncommutative desingularization of orbit closures for some representations of $GL_n$
determinantal variety symmetric minor pfaffian partial flag variety exceptional collection derived equivalence quiver with relations
2012/4/18
We describe noncommutative desingularizations of determinantal varieties, determinantal varieties defined by minors of generic symmetric matrices, and pfaffian varieties defined by pfaffians of generi...
Doubling and Desingularization Constructions for Minimal Surfaces
Differential geometry minimal surfaces partial differential equations
2011/2/28
In the first part of the paper we discuss the current status of the application of the gluing methodology to doubling and desingularization constructions for minimal surfaces in Riemannian three-manif...
Desingularization of binomial varieties in arbitrary characteristic. Part II. Combinatorial desingularization algorithm
Resolution of Singularities Binomial ideals
2010/11/29
In this paper we construct a combinatorial algorithm of resolution of singularities for binomial ideals, over a field of arbitrary characteristic. This algorithm is applied to any binomial ideal.This ...