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Resolution except for minimal singularities II. The case of four variables
birational geometry resolution of singularities normal crossings desingularization invariant normal form
2011/9/22
Abstract: In this sequel to Resolution except for minimal singularities I, we find the smallest class of singularities in four variables with which we necessarily end up if we resolve singularities ex...
Resolution except for minimal singularities I
birational geometry resolution of singularities normal crossings desingularization invariant normal form
2011/9/22
Abstract: The philosophy of the article is that the desingularization invariant together with natural geometric information can be used to compute local normal forms of singularities. The idea is used...
A global analog of the Springer resolution for $SL_2$
the Springer resolution global analog Algebraic Geometry
2011/9/20
Abstract: The global nilpotent cone N is a singular stack associated to the choice of an algebraic group G, a smooth projective curve X, and a line bundle L on X, which is of fundamental importance to...
Generalised Poincaré series and embedded resolution of curves
Curve singularity Poincaré series divisorial valuation motivic integration
2011/8/26
Abstract: The purpose of this paper is to extend the notions of generalised Poincar\'e series and divisorial generalised Poincar\'e series (of motivic nature) introduced by Campillo, Delgado and Gusei...