Computations of Mather Minimal Log Discrepancies
Weichen Gu
TL;DR
This paper develops methods to compute Mather minimal log discrepancies using jet schemes and arc spaces, focusing on toric varieties and general hypersurfaces.
Contribution
It introduces a novel approach to calculating Mather minimal log discrepancies for specific classes of algebraic varieties.
Findings
Effective computation methods for toric varieties
Extension of techniques to very general hypersurfaces
Insights into singularity measures via jet schemes
Abstract
We compute the Mather minimal log discrepancy via jet schemes and arc spaces for toric varieties and very general hypersurfaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Analytic Number Theory Research · Cryptography and Residue Arithmetic