Hirzebruch-Milnor classes of complete intersections
Laurentiu Maxim, Morihiko Saito, Joerg Schuermann
TL;DR
This paper introduces a new formula for Hirzebruch-Milnor classes of complete intersections with arbitrary singularities, extending previous formulas for special cases and unifying their descriptions.
Contribution
It generalizes existing formulas for Chern-Milnor classes to the broader context of Hirzebruch-Milnor classes for complete intersections with arbitrary singularities.
Findings
Derived a new formula for Hirzebruch-Milnor classes
Extended previous results to arbitrary singularities
Unified understanding of Milnor classes in complex geometry
Abstract
We prove a new formula for the Hirzebruch-Milnor classes of global complete intersections with arbitrary singularities describing the difference between the Hirzebruch classes and the virtual ones. This generalizes a formula for the Chern-Milnor classes in the hypersurface case that was conjectured by S. Yokura and was proved by A. Parusinski and P. Pragacz. It also generalizes a formula of J. Seade and T. Suwa for the Chern-Milnor classes of complete intersections with isolated singularities.
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 · Geometric and Algebraic Topology · Commutative Algebra and Its Applications