5 papers
Unirationality of instanton moduli space for small charges
Dimitri Markushevich, Alexander Tikhomirov
The unirationality of the moduli space of mathematical instantons on the projective 3-space is proved for charges less than or equal to 7.
Lagrangian tens of planes, Enriques surfaces and holomorphic symplectic fourfolds
Igor Dolgachev, Dimitri Markushevich
The Fano models of Enriques surfaces produce a family of tens of mutually intersecting planes in with a -dimensional moduli space. The latter is linked to several…
Rationality of instanton moduli
D. Markushevich, A. S. Tikhomirov
Tikhomirov (2009) proved the irreducibility of the moduli space of mathematical instantons on the projective 3-space for all odd charges. The irreducibility for charges between 1 a…
Symplectic moduli space of 1-dimensional sheaves on Poisson surfaces
Indranil Biswas, Dimitri Markushevich
We show that the Poisson structure on the smooth locus of a moduli space of 1-dimensional sheaves on a Poisson projective surface over is a reduction of a natural s…
Action of the automorphism group on the Jacobian of Klein's quartic curve II: Invariant theta functions
Dimitri Markushevich, Anne Moreau
Bernstein-Schwarzman conjectured that the quotient of a complex affine space by an irreducible complex crystallographic group generated by reflections is a weighted projective spac…