A resolution of singularities for Drinfeld’s compactification by stable maps
نویسنده
چکیده
Drinfeld’s relative compactification plays a basic role in the theory of automorphic sheaves, and its singularities encode representation-theoretic information in the form of intersection cohomology. We introduce a resolution of singularities consisting of stable maps from nodal deformations of the curve into twisted flag varieties. As an application, we prove that the twisted intersection cohomology sheaf on Drinfeld’s compactification is universally locally acyclic over the moduli stack of G-bundles at points sufficiently antidominant relative to their defect.
منابع مشابه
Laumon’s Resolution of Drinfeld’s Compactification Is Small
Let C be a smooth projective curve of genus 0. Let B be the variety of complete flags in an n-dimensional vector space V . Given an (n − 1)-tuple α of positive integers one can consider the space Qα of algebraic maps of degree α from C to B. This space has drawn much attention recently in connection with Quantum Cohomology (see e.g. [Giv], [Kon]). The space Qα is smooth but not compact (see e.g...
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Let C be a smooth projective curve of genus 0. Let B be the variety of complete flags in an n-dimensional vector space V . Given an (n − 1)-tuple α of positive integers one can consider the space Qα of algebraic maps of degree α from C to B. This space has drawn much attention recently in connection with Quantum Cohomology (see e.g. [Giv], [Kon]). The space Qα is smooth but not compact (see e.g...
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