2 papers
math.AG2025
NC-smooth thickenings and Jacobians
Alexander Polishchuk
We prove that a bounded complex of coherent sheaves on an abelian variety A, whose Fourier-Mukai transform has support of dimension at most 1, extends to a perfect complex on the s…
math.AG2025
Convergence of integrals on the moduli spaces of curves and cographical matroids
Alexander Polishchuk, Nicholas Proudfoot
We determine the convergence regions of certain local integrals on the moduli spaces of curves in neighborhoods of fixed stable curves in terms of the combinatorics of the correspo…