3 papers
math.NT2025
Hecke operators for curves over non-archimedean local fields and related finite rings
Alexander Braverman, David Kazhdan, Alexander Polishchuk +1
We study Hecke operators associated with curves over a non-archimedean local field and over the rings , where is the ring of integers. Our main…
math.AG2025
Notes on fundamental algebraic supergeometry. Hilbert and Picard superschemes
Ugo Bruzzo, Daniel Hernandez Ruiperez, Alexander Polishchuk
These notes aim at providing a complete and systematic account of some foundational aspects of algebraic supergeometry, namely, the extension to the geometry of superschemes of man…
math.AG2024
Extended clutching construction for the moduli of stable curves
Alexander Polishchuk
We give a description of the formal neighborhoods of the components of the boundary divisor in the Deligne-Mumford moduli stack of stable curves in terms…