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 2014 · math.AGShow all

2 papers · 2 filters

math.AG2014★ 1 cited

Symplectic instanton bundles on P3 and 't Hooft instantons

Ugo Bruzzo, Dimitri Markushevich, Alexander Tikhomirov

We study the moduli space $I_{n, r}$ of rank- $2 r$ symplectic instanton vector bundles on $P^{3}$ with $r \geq 2$ and second Chern class $n \geq r + 1, n - r \equiv 1 (mod 2)$ .…

math.AG2014★ 5 cited

On the Barth-Van de Ven-Tyurin-Sato theorem

Ivan Penkov, Alexander S. Tikhomirov

The Barth-Van de Ven-Tyurin-Sato Theorem claims that any finite rank vector bundle on the infinite complex projective space $P^{\infty}$ is isomorphic to a direct sum of lin…