Papers on Algebraic Geometry
by Anatol N. Kirillov


  1. New combinatorial formula for modified Hall-Littlewood polynomials
    q-Series from a Contemporary Perspective (AMS-ISM-SIAM Joint Summer Research Conference on q-series, Combinatorics, and computer Algebra; June 21-25, 1998, Mount Holyoke, MA, USA), 283-333,
    Contemporary Mathematics 254, AMS, Providence, 2000
    math.QA/9803006

  2. t-Deformations of quantum Schubert polynomials
    Funkcialaj Ekvacioj 43 (2000), 57-69
    math.QA/9802001

  3. Skew divided difference operators and Schubert polynomials
    Preprint CRM-2526, 1997, 15p.;
    q-alg/9712053

  4. On some quadratic algebras: Jucys-Marphy and Dunkl elements
    Calogero-Moser-Sutherland models, (Montreal, PQ, March 10-15, 1997) CRM Series in Mathematical Physics, Springer, New York, 2000, 231-248

  5. On some quadratic algebras
    L.D. Faddeev's Seminar on Mathematical Physics, 91-113,
    American Mathematical Society Translations: Series 2 201, AMS, Providence, 2000
    q-alg/9705003

  6. Cauchy identities for universal Schubert polynomials
    q-alg/9703047, 1997, 16p.

  7. Quantum Schubert polynomials and quantum Schur functions
    Intern. Journ. of Algebra and Computation 9 (1999), 385-404
    q-alg/9701005

  8. Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa-Intriligator formula (with T.Maeno)
    Discrete Mathematics 217 (2000), 191-224
    q-alg/9610022

  9. Quantum Grothendieck polynomials
    Algebraic Methods and q-Special Functions, (Montreal, PQ, May 13-17, 1996) CRM Proc. Lecture Notes 22, Amer. Math. Soc., 1999, 215-226
    q-alg/9610034, 1996, 12p.

  10. Quantum double Schubert polynomials, quantum Schubert polynomials and Vafa-Intriligator formula (with T.Maeno)
    Proceedings of 9th Conference on Formal Power Series and Algebraic Combinatorics, Wien, July 14-July 18, 1997, 301-312.

  11. Quadratic algebras, Dunkl elements, and Schubert calculus (with S.Fomin)
    Progress in Mathematics 172, Advances in Geometry, 147-182, ed. J.-L.Brylinski et., Birkhauser, Boston, 1999

  12. Combinatorial $B_n$-analogues of Schubert polynomials (with S.Fomin)
    Transactions of the AMS 348 (1996), 3591-3620.

  13. Group generated by involutions, Gelfand-Tsetlin patterns and combinatorics of Young tableaux (with A.Berenstein)
    Algebra i Analiz 7 (1995), no.1, 92-152, translation in St.Petersburg Math. J. 7 (1996), no.1, 77-127.

  14. Grothendieck polynomials and the Yang-Baxter equation (with S.Fomin)
    Proc. 6th Intern. Conf. on Formal Power Series and Algebraic Combinatorics, DIMACS, 1994, 183-190.

  15. Yang-Baxter equation, symmetric functions and Grothendieck polynomials (with S.Fomin)
    Preprint PAR-LPTHE 93/32, 1993, 25p.;
    hep-th/93060005

  16. Some generalization of the Abjankar-Moh theorem (Russisn)
    Proceedings of Algebraic Conference, L'vov, 1987, part 1, p.131.

  17. Mixed Hodge structure of the isolated singularity of the hypersuface
    Shot Communications, ICM-82, Warszawa, 1982, sec.6, p.34.

  18. Milnor's number of isolated singularity of complete intersection (Russian)
    Proceedings of Algebraic conference, Leningrad, 1981, part 1, p.97.

  19. The Zeta function of the monodromy of a singular point of complete intersection (Russian)
    Zap. Nauch. Sem. LOMI 112 (1981), 112-119, translation in Journal of Soviet Math. 25 (1984), 1051-1056.

  20. Formula for calculating the integer cohomology of the link of an isolated hypersurface singularity (Russian)
    Zap. Nauch. Sem. LOMI 100 (1980), 106-112, translation in Journal of Soviet Math. 19 (1982), 1695-1699.

  21. Convex polytops and formal groups (Russian)
    Zap. Nauch. Sem. LOMI 75 (1978), 87-90, translation in Journal of Soviet Math. 37 (1987), 974-976.

  22. Classification of the formal O-modules (Russian)
    Proceedings of Algebraic conference, Krasnoyarsk, 1977, p.76.

  23. Classification of the commutative formal group over rings without Z-torsion (Russian),
    Preprint LOMI, 1977, 90p.

  24. Commutative formal groups (Russian)
    Zap. Nauch. Sem. LOMI 57 (1976), 117-124, translation in Journal of Soviet Math. 11 (1979), 613-619.

  25. Lutz filtration of formal groups (Russian, with M.I.Bashmakov)
    Izv. Acad. of Scien. USSR 139 (1975), no.6, 1227-1239.


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