S. Tikhomirov

most citedNew moduli components of rank 2 bundles on projective space

9 citations · 10 across the 3 of their papers we have counts for

collaborators

3 papers

math.AG2018★ 1 cited

Construction of stable rank 2 vector bundles on $P^{3}$ via symplectic bundles

Alexander Tikhomirov, Sergey Tikhomirov, Danil Vasiliev

In this article we study the Gieseker-Maruyama moduli spaces $B (e, n)$ of stable rank 2 algebraic vector bundles with Chern classes $c_{1} = e \in {- 1, 0}, c_{2} = n \geq 1$ on the p…

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★ 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…

Construction of stable rank 2 vector bundles on P3 via symplectic bundles

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

New moduli components of rank 2 bundles on projective space

Construction of stable rank 2 vector bundles on $P^{3}$ via symplectic bundles

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