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- Pennsylvania State UniversityUS549 papers
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8 papers · 2 filters
Holomorphic one-forms on varieties of general type
Christopher D. Hacon, Sándor J. Kovács
It has been conjectured that varieties of general type do not admit nowhere vanishing holomorphic one-forms. We confirm this conjecture for smooth minimal varieties and for varieti…
Stable degenerations of symmetric squares of curves
Michael A. van Opstall
The main result of this article is that the component of the Alexeev-Kollár-Shepherd-Barron moduli space of stable surfaces parameterizing stable degenerations of symmetric squares…
Stable degenerations of surfaces isogenous to a product of curves
Michael van Opstall
We use the moduli space of stable curves to determine the stable (in the sense of Kollár-Shepherd-Barron) degenerations of surfaces isogenous to a product of stable curves. A recen…
Gromov-Witten Invariants for Abelian and Nonabelian Quotients
Aaron Bertram, Ionut Ciocan-Fontanine, Bumsig Kim
We make precise conjectures relating the genus zero Gromov-Witten theory of a nonabelian GIT quotient X//G to that of the associated abelian quotient X//T by a maximal torus T in G…
A lower bound for the dimension of the base locus of the generalized theta divisor
D. Arcara
We produce a lower bound for the dimension of the base locus of the generalized theta divisor on the moduli space SU_C(r) of semistable vector bundles of rank r and trivial determi…
Genus 2 mapping class groups are not Kahler
Razvan Veliche
The goal of these notes is to prove that the mapping class groups of a closed orientable surface of genus two, with punctures, are not Kähler