4 papers
Local Monodromy of Constructible Sheaves
Madhav V. Nori, Deepam Patel
Given a morphism of complex algebraic varieties and a constructible sheaf on , we compute the local monodromy of and $Rf_!…
Algebraicity of Hodge classes on some generalized Prym Varieties
Deepam Patel, Yilong Zhang
In this article, we revisit the construction of some algebraic cycles due to Chad Schoen on certain Prym Varieties. More precisely, we show that these cycles arise naturally from (…
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,…
Cohomological VC-density: Bounds and Applications
Saugata Basu, Deepam Patel
The concept of Vapnik-Chervonenkis (VC) density is pivotal across various mathematical fields, including discrete geometry, probability theory and model theory. In this paper, we i…