Motivic Classes Of Degeneracy Loci And Pointed Brill-Noether Varieties

Authors

D. Anderson
Linda Chen, Swarthmore CollegeFollow
N. Tarasca

Document Type

Article

Publication Date

4-1-2022

Published In

Journal Of The London Mathematical Society

Abstract

Motivic Chern and Hirzebruch classes are polynomials with K-theory and homology classes as coefficients, which specialize to Chern–Schwartz–MacPherson classes, K-theory classes, and Cappell–Shaneson L-classes. We provide formulas to compute the motivic Chern and Hirzebruch classes of Grassmannian and vexillary degeneracy loci. We apply our results to obtain the Hirzebruch χ_y-genus of classical and one-pointed Brill–Noether varieties, and therefore their topological Euler characteristic, holomorphic Euler characteristic, and signature.

Comments

This work is a preprint that is freely available courtesy of Wiley. The version of record can be freely accessed via Wiley's Content Sharing service.

Recommended Citation

D. Anderson, Linda Chen, and N. Tarasca. (2022). "Motivic Classes Of Degeneracy Loci And Pointed Brill-Noether Varieties". Journal Of The London Mathematical Society. Volume 105, Issue 3. 1787-1822. DOI: 10.1112/jlms.12547
https://works.swarthmore.edu/fac-math-stat/269