A. Tikhomirov

activity

19982025

most citedThe Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold

83 citations · 180 across the 24 of their papers we have counts for

collaborators

Showing 2017Show all

4 papers · 1 filter

math.AG2017★ 6 cited

Semistable rank 2 sheaves with singularities of mixed dimension on $P^{3}$

Alexey N. Ivanov, Alexander S. Tikhomirov

We describe new irreducible components of the Gieseker-Maruyama moduli scheme $M (3)$ of semistable rank 2 coherent sheaves with Chern classes $c_{1} = 0, c_{2} = 3, c_{3} = 0$ on $…

math.AG2017

Series of rational moduli components of stable rank 2 vector bundles on $P^{3}$

Alexey Kytmanov, Alexander Tikhomirov, Sergey Tikhomirov

We study the problem of rationality of an infinite series of components, the so-called Ein components, of the Gieseker-Maruyama moduli space $M (e, n)$ of rank 2 stable vector bundle…

math.AG2017★ 15 cited

Moduli spaces of rank 2 instanton sheaves on the projective space

Marcos Jardim, Mario Maican, Alexander S. Tikhomirov

We study the irreducible components of the moduli space of instanton sheaves on $P^{3}$ , that is rank 2 torsion free sheaves $E$ with $c_{1} (E) = c_{3} (E) = 0$ satisfying $h^1(E(-2)…

math.AG2017★ 9 cited

New moduli components of rank 2 bundles on projective space

Charles Almeida, Marcos Jardim, Alexander Tikhomirov +1

We present a new family of monads whose cohomology is a stable rank two vector bundle on $P^{3}$ . We also study the irreducibility and smoothness together with a geometrical…

Semistable rank 2 sheaves with singularities of mixed dimension on P3

Series of rational moduli components of stable rank 2 vector bundles on P3

Moduli spaces of rank 2 instanton sheaves on the projective space

New moduli components of rank 2 bundles on projective space

Semistable rank 2 sheaves with singularities of mixed dimension on $P^{3}$

Series of rational moduli components of stable rank 2 vector bundles on $P^{3}$