1 citations · 2 across the 11 of their papers we have counts for
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A characterization of ball quotient stacks
Chirantan Chowdhury, Matteo Costantini, Aryaman Patel
We characterize smooth proper Deligne-Mumford stacks that arise as compactifications of ball quotient stacks . Moreover, we show that every ball quo…
The Hitchin morphism for K-trivial varieties
Aryaman Patel, Dario Weissmann
We study the Hitchin morphism for higher dimensional varieties and show that, for a certain class of varieties which we call r-small, the set-theoretic image of the Hitchin morphis…
Stratifying moduli spaces of Higgs bundles and the Hitchin morphism
Aryaman Patel, Dario Weissmann
We study the behavior of slope-stability of reflexive twisted sheaves over a normal projective variety under pullback along a cover. Slope-stability is always preserved if the…
Slope zero tensors, uniformizing variations of Hodge structure and quotients of tube domains
Patrick Graf, Aryaman Patel
We prove an equivalence between two approaches to characterizing complex-projective varieties with klt singularities and ample canonical divisor that are uniformized by bounded…
Semispecial tensors and quotients of the polydisc
Patrick Graf, Aryaman Patel
Let be a complex-projective variety with klt singularities and ample canonical divisor. We prove that is a quotient of the polydisc by a group acting properly discontinuous…
Uniformization of klt pairs by bounded symmetric domains
Patrick Graf, Aryaman Patel
Given a complex-projective klt pair with standard coefficients and such that is ample, we determine necessary and sufficient conditions for the pair to…
Reflexive symmetric differentials and quotients of bounded symmetric domains
Aryaman Patel
For each classical irreducible bounded symmetric domain , Klingler has computed the minimum number such that any smooth projective quotient $X=\mathc…
Uniformization of complex projective klt varieties by bounded symmetric domains
Aryaman Patel
Using classical results from Hodge theory and more contemporary ones valid for complex projective varieties with Kawamata log terminal (klt) singularities, we deduce necessary and…