2 citations · 2 across the 2 of their papers we have counts for
6 papers · 1 filter
Hitchin systems on ll- curves
Andrei N. Tyurin
One investigates the Hitchin systems over "large limit" curves.
On the Mumford - Narasimhan problem
Andrei N. Tyurin
Here we discuss an old problem of algebraic geometry using some new techniques. Namely we prove that over a generic curve stable vector bundle admits the Schottki representation.
Delzant models of moduli spaces
Andrei Tyurin
For every genus g, we construct a smooth, complete, rational polarized algebraic variety DM_g together with a normal crossing divisor D = sum D_i, such that for every moduli space…
Complexification of Bohr-Sommerfeld conditions
Andrei Tyurin
The complex version of Bohr-Sommerfeld conditions is proposed. The BPU-construction (see [D.Borthwick, T. Paul and A. Uribe, Legendrian distributions with applications to the non-v…
Quantization and ``theta functions''
Andrei Tyurin
Geometric Quantization links holomorphic geometry with real geometry, a relation that is a prototype for the modern development of mirror symmetry. We show how to use this treatmen…
Special Langrangian geometry and slightly deformed algebraic geometry (spLag and sdAG)
Andrei Tyurin
The special geometry of calibrated cycles, closely related to mirror symmetry among Calabi--Yau 3-folds, is itself a real form of a new subject, which we call slightly deformed alg…