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 2011 · math.AGShow all

3 papers · 2 filters

math.AG2011

Bubble tree compactification of moduli spaces of vector bundles on surfaces

D. Markushevich, A. S. Tikhomirov, G. Trautmann

In this article we announce some results on compactifying moduli spaces of rank-2 vector bundles on surfaces by spaces of vector bundles on trees of surfaces. This is thought as an…

math.AG2011★ 1 cited

Moduli of symplectic instanton vector bundles of higher rank on projective space $P^{3}$

Ugo Bruzzo, D. Markushevich, A. S. Tikhomirov

Symplectic instanton vector bundles on the projective space $P^{3}$ constitute a natural generalization of mathematical instantons of rank 2. We study the moduli space $I_{n…

math.AG2011★ 5 cited

Algebraic cycles on quadric sections of cubics in P^4 under the action of symplectomorphisms

V. Guletskii, A. Tikhomirov

We consider the involution changing the sign of two coordinates in 4-dimensional projective space. The intersection S of invariant cubic and quadric hypersurfaces in P^4 is a K3-su…

Bubble tree compactification of moduli spaces of vector bundles on surfaces

Moduli of symplectic instanton vector bundles of higher rank on projective space P3

Algebraic cycles on quadric sections of cubics in P^4 under the action of symplectomorphisms

Moduli of symplectic instanton vector bundles of higher rank on projective space $P^{3}$