Department of Mathematics and Computer Science
Faculty of Exact Sciences, Bar-Ilan University, Ramat-Gan, Israel.
Andrei (Andrey) Tyurin
(24.02.1940 - 27.10.2002)
program for learning algebraic geometry
Partial list of publications
Analogs of Thorelli theorem for rank 2 vector bundles on curves. (1969)
Fano surface of a quibic threefold in P^4 (1970)
Geometry of Theta Divisor of a Prym variety (1975)
A Fano surface of a 3-dimensional qubic in P^4 and Thorellli theorem (1970)
Singularities of theta-divisor of a Picard variedy of Fano surface for qubic in P^4 (1972)
Geometry of modules of vector bundles (Russian)(1974)
An Invariant of a bundle of quadrics (1975)
Periods and Principal parts of quadratic differentials (1977).
Periods and Principal parts of quadratic differentials (Russian) (1978).
Singulatities of a generic quadratic form (Russian) (1980).
Superposition of instantons (1982)
Local and global invariants of a 4-dimensional Riemannian manifold (1985)
Special 0-cycles on a K3 surface (1987)
Cycles, curves and vector bundles on algebraic surfaces (1987).
Algebro-geometry aspects of smoothness. Donaldson polynomials.(Russian)(1989)
On the Weil-Petersson metric on the moduli space of vector bundles on a surface (1991)
Almost canonical polynomials of algebraic surface (1992).
Canonical Spin polinomials of an anlgebraic surface(1994)
Classical geometry of vector bundles (1996?)
Abelian lagrangian algebraic geometry (with Alexei Gorodentsev)
Non-Abelian Analog's of Abel's Theorem
English version, 2000 (PostScript)
another English version, translated from Russian (2001)
Russian version, 2000 -- to be posted
Quantization, Classical and Quantum Field Theory and Theta-Functions. (2003)
Collected works (Russian, 3 volumes)
Papers in the Arxive
math.AG/0302249: Hitchin systems on ll-curves
math.AG/0302101: Fano versus Calabi - Yau
math.AG/0210466 : Quantization, Classical and Quantum Field Theory and Theta - Functions
math.AG/0210135: On the Mumford - Narasimhan problem
math.AG/0105216 : Delzant models of moduli spaces
math.DG/0102118 : Lattice gauge theories and the Florentino conjecture
math.DG/0011035 : Three mathematical faces of SU(2) - spin networks
math.AG/9909094 : Complexification of Bohr-Sommerfeld conditions
math.AG/9909084 : On Bohr-Sommerfeld bases
math.AG/9904046 : Quantization and ``theta functions''
math.AG/9902027 : Geometric quantization and mirror symmetry
math.AG/9806006 : Special Langrangian geometry and slightly deformed algebraic geometry (spLag and sdAG)
dg-ga/9507004 : Localisation of the Donaldson's invariants along Seiberg-Witten classes joint with Victor Pidstrigach
alg-geom/9406002: Spin canonical invariants of 4-manifolds and algebraic surfaces
alg-geom/9210003: The simple method of distinguishing the underlying differentiable structures of algebraic surfaces