Calculations with Characteristic Cycles
David B. Massey
TL;DR
This paper presents new methods and results for calculating characteristic cycles, especially focusing on hypersurfaces, to advance understanding in algebraic geometry and related fields.
Contribution
It introduces novel techniques for computing characteristic cycles and extends existing results to cases involving hypersurfaces.
Findings
Derived explicit formulas for characteristic cycles of hypersurfaces
Proved new theorems relating to graded and enriched characteristic cycles
Enhanced computational methods for algebraic geometry applications
Abstract
We discuss and prove a number of results for calculating characteristic cycles, or graded, enriched characteristic cycles. We concentrate particularly on results related to hypersurfaces.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Differential Equations and Dynamical Systems · Polynomial and algebraic computation