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math.LO2024
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…
math.AG2024
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,…