168 citations · 295 across the 52 of their papers we have counts for
59 papers
A Higher dimensional log Riemann--Hurwitz inequality and rigidity of covers
Donu Arapura, Chikako Mese, Deepam Patel
Let be a smooth projective variety with an simple normal crossing divisor such that is nef. We prove that if $Y\subset Z:=\overline…
Failure of the invariant cycle theorem over
Donu Arapura, François Greer, Yilong Zhang
We initiate a study of the local invariant cycle theorem with integral coefficients for 1-parameter semistable families of varieties. We show that it always holds for , and it…
Euler characteristics of Kollár-hyperbolic varieties
Donu Arapura
Call a normal complex projective variety Kollár-hyperbolic if any nonconstant map from a smooth projective curve to induces a nontrivial homomorphism of étale fundamental g…
Universal Chern classes on the moduli of bundles
Donu Arapura
The goal of this paper is to construct universal cohomology classes on the moduli space of stable bundles over a curve when it is not a fine moduli space, i.e. when the rank and de…
Differential Forms and Hodge Structures on Singular Varieties
Donu Arapura, Scott Hiatt
We compare a couple of notions of differential form on singular complex algebraic varieties, and relate them to the outermost associated graded spaces of the Hodge filtration of or…
Nonnegativity of signed Euler characteristics of moduli of curves and abelian varieties
Donu Arapura, Deepam Patel
Given a perverse sheaf on the moduli stack of principally polarized abelian varieties or the moduli stack of smooth curves with n marked points over a field of characteristic zero,…