4 citations · 4 across the 1 of their papers we have counts for
3 papers
math.AG2002★ 4 cited
Irreducibility and Smoothness of the moduli space of mathematical 5--instantons over
I. Coanda, A. Tikhomirov, G. Trautmann
We prove that the space of mathematical instantons with second Chern class 5 over is smooth and irreducible. Unified and simple proofs for the same statements in ca…
math.AG1999
Symplectic structure on a moduli space of sheaves on the cubic fourfold
D. Markushevich, A. S. Tikhomirov
A 10-dimensional symplectic moduli space of torsion sheaves on the cubic 4-fold is constructed. It parametrizes the stable rank 2 vector bundles on the hypeplane sections of the cu…
math.AG1998
The Abel-Jacobi map of a moduli component of vector bundles on the cubic threefold
D. Markushevich, A. S. Tikhomirov
The Abel-Jacobi map of the family of elliptic quintics lying on a general cubic threefold is studied. It is proved that it factors through a moduli component of stable rank 2 vecto…