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

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