A resolution of singularities of Drinfeld compactification with an Iwahori structure
Ruotao Yang
TL;DR
This paper introduces a new resolution of singularities for the Drinfeld compactification with an Iwahori structure, enabling the proof of universal local acyclicity of certain D-modules, advancing geometric representation theory.
Contribution
It provides a novel resolution of singularities for the Drinfeld compactification with an Iwahori structure, building on Campbell's construction.
Findings
Resolution of singularities constructed
Universal local acyclicity proved for !-extension D-modules
Enhances understanding of geometric structures in representation theory
Abstract
This paper considers a tiny modification of Justin Campbell's construction of the Kontsevich compactification in arXiv:1606.01518 [math.AG]. We construct a resolution of singularities of Drinfeld compactification with an Iwahori structure and use it to prove the universally local acyclity of !-extension D-module on the Drinfeld compactification with an Iwahori structure.
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Taxonomy
TopicsHomotopy and Cohomology in Algebraic Topology · Algebraic Geometry and Number Theory · Algebraic structures and combinatorial models