Two‐pointed Prym–Brill–Noether loci and coupled Prym–Petri theorem

Minyoung Jeon

Mathematische Nachrichten, 2025, vol. 298, issue 4, 1201-1219

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.

Date: 2025
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https://doi.org/10.1002/mana.202300581

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