Year: 2025
Type: article
Abstract: We establish two‐pointed Prym–Brill–Noether loci with special vanishing at two points, and determine their K‐theory classes when the dimensions are as expected. The classes are derived by the applications of a formula for the K‐theory of certain vexillary degeneracy loci in type D. In particular, we show a two‐pointed version of the Prym–Petri theorem on the expected dimension in the general case, with a coupled Prym–Petri map. Our approach is inspired by the work on pointed cases by Tarasca, and we generalize unpointed cases by De Concini‐Pragacz and Welters.
Source: Mathematische Nachrichten
Author: Minyoung Jeon
Institutions: University of Georgia, Institute for Basic Science
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4407704069