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)
(more pictures)
Andrei Tyurin's
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)
(version)
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)
(part 2)
(part 3)
Classical geometry of vector bundles (1996?)
Abelian lagrangian algebraic geometry (with Alexei Gorodentsev)
1999 version
2001 version
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
Books
Quantization, Classical and Quantum Field Theory and Theta-Functions. (2003)
Collected works (Russian, 3 volumes)
Papers in the Arxive
1.
math.AG/0302249: Hitchin systems on ll-curves
2.
math.AG/0302101: Fano versus Calabi - Yau
3.
math.AG/0210466 : Quantization, Classical and Quantum Field Theory and Theta - Functions
4.
math.AG/0210135: On the Mumford - Narasimhan problem
5.
math.AG/0105216 : Delzant models of moduli spaces
6.
math.DG/0102118 : Lattice gauge theories and the Florentino conjecture
7.
math.DG/0011035 : Three mathematical faces of SU(2) - spin networks
8.
math.AG/9909094 : Complexification of Bohr-Sommerfeld conditions
9.
math.AG/9909084 : On Bohr-Sommerfeld bases
10.
math.AG/9904046 : Quantization and ``theta functions''
11.
math.AG/9902027 : Geometric quantization and mirror symmetry
12.
math.AG/9806006 : Special Langrangian geometry and slightly deformed algebraic geometry (spLag and sdAG)
13.
dg-ga/9507004 : Localisation of the Donaldson's invariants along Seiberg-Witten classes joint with Victor Pidstrigach
14.
alg-geom/9406002: Spin canonical invariants of 4-manifolds and algebraic surfaces
15.
alg-geom/9210003: The simple method of distinguishing the underlying differentiable structures of algebraic surfaces
Obituary
http://www.cs.biu.ac.il