3 papers
math.AG2026
Moduli of rank two semistable sheaves on rational Fano threefolds of the main series
Alexander S. Tikhomirov, Danil A. Vassiliev
In this paper we investigate the moduli spaces of semistable coherent sheaves of rank two on the projective space and the following rational Fano manifolds of the ma…
hep-th2025
Non-split superstrings of dimension
Dimitry Leites, Alexander S. Tikhomirov
Any supermanifold diffeomorphic to one whose structure sheaf is the sheaf of sections of a~vector bundle over the underlying manifold is called split. GawÈ©dzki (1977) and Batchelo…
math.AG2024
Unirationality of instanton moduli space for small charges
Dimitri Markushevich, Alexander Tikhomirov
The unirationality of the moduli space of mathematical instantons on the projective 3-space is proved for charges less than or equal to 7.