17 citations · 48 across the 14 of their papers we have counts for
19 papers · 1 filter
Heisenberg vertex algebras and abelian varieties
Nicola Tarasca
Here we construct spaces of coinvariants for Heisenberg vertex algebras on abelian varieties and show that these globalize to twisted -modules on the moduli space of a…
Coinvariants of metaplectic representations on moduli of abelian varieties
Nicola Tarasca
We construct spaces of coinvariants at principally polarized abelian varieties with respect to the action of an infinite-dimensional Lie algebra. We show how these spaces globalize…
A pointed Prym-Petri Theorem
Nicola Tarasca
We construct pointed Prym-Brill-Noether varieties parametrizing line bundles assigned to an irreducible étale double covering of a curve with a prescribed minimal vanishing at a fi…
-canonical divisors through Brill-Noether special points
Iulia Gheorghita, Nicola Tarasca
Inside the projectivized -th Hodge bundle, we construct a collection of divisors obtained by imposing vanishing at a Brill-Noether special point. We compute the classes of the c…
Incidence varieties in the projectivized -th Hodge bundle over curves with rational tails
Iulia Gheorghita, Nicola Tarasca
Over the moduli space of pointed smooth algebraic curves, the projectivized -th Hodge bundle is the space of -canonical divisors. The incidence loci are defined by requiring…
Motivic classes of degeneracy loci and pointed Brill-Noether varieties
Dave Anderson, Linda Chen, Nicola Tarasca
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, an…