83 citations · 180 across the 24 of their papers we have counts for
27 papers
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. Gawȩdzki (1977) and Batchelor…
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.
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…
An algebraic-geometric construction of ind-varieties of generalized flags
A. Tikhomirov, I. Penkov
We define the class of admissible linear embeddings of flag varieties. The definition is given in the general language of algebraic geometry. We then prove that an admissible linea…
Irreducible components of the moduli space of rank 2 sheaves of odd determinant on the projective space
Charles Almeida, Marcos Jardim, Alexander S. Tikhomirov
We describe new irreducible components of the moduli space of rank semistable torsion free sheaves on the three-dimensional projective space whose generic point corresponds to…
Construction of stable rank 2 vector bundles on via symplectic bundles
Alexander Tikhomirov, Sergey Tikhomirov, Danil Vasiliev
In this article we study the Gieseker-Maruyama moduli spaces of stable rank 2 algebraic vector bundles with Chern classes on the p…