A strongly geometric general residual intersection
Shihoko Ishii, Wenbo Niu
TL;DR
This paper establishes new formulas and equalities related to residual intersections, canonical sheaves, and singularities, providing insights into the behavior of MJ-singularities under general residual intersections.
Contribution
It introduces formulas for Grauert-Riemenschneider sheaves, log canonical thresholds, and minimal log discrepancies in the context of general residual intersections, and explores the preservation of MJ-singularities.
Findings
Formulas for canonical sheaves and thresholds in residual intersections
Equality of minimal log discrepancies under general link
Evidence of MJ-singularities preservation in residual intersections
Abstract
In this paper, we prove a formula of Grauert-Riemenschneider canonical sheaf and log canonical thresholds for a general residual intersection as well as an equality of minimal log discrepancies under a general link. We also prove an evidence that MJ-singularities can be preserved under a general residual intersection.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Geometry and complex manifolds · Advanced Algebra and Geometry