Speciality:
05.13.17 (Theoretical foundation for informatics)
Birth date:
25.09.1978
Phone: +7 (391) 291 2790
Fax: +7 (391) 291 2575
E-mail: Website: https://www.researchgate.net/profile/Alexey-Kytmanov Keywords: Systems of Nonlinear Equations,
Toric Varieties,
Stable Bundles and Sheaves,
Moduli Spaces.
UDC: 517.55, 004.56(06)
MSC: 68W30, 65H10, 14D20, 14J60, 14M25, 14Q99, 32A26
Subject:
Computer Algebra, Several Complex Variables, Algebraic Geometry.
Main publications:
A. A. Kytmanov, “An analog of the Fubini-Studi form for two-dimensional toric varieties”, Siberian Mathematical Journal, 44:2 (2003), 286–297
A. A. Kytmanov, A. Y. Semusheva, “Averaging of the Cauchy kernels and integral realization of the local residue”, Mathematische Zeitschrift, 264:1 (2010), 87–98
A. A. Kytmanov, A. M. Kytmanov, E. K. Myshkina, “Finding residue integrals for systems of non-algebraic equations in $\mathbb{C}^n$”, Journal of Symbolic Computation, 66 (2015), 98–110
A. A. Kytmanov, A. M. Kytmanov, E. K. Myshkina, “Residue integrals and Waring’s formulas for algebraic or even transcendental system”, Complex Variables and Elliptic Equations, 64:1 (2019), 93–111
A. A. Kytmanov, A. S. Tikhomirov, S. A. Tikhomirov, “Series of rational moduli components of stable rank two vector bundles on $\mathbb{P}^3$”, Selecta Mathematica New Series, 25:2 (2019), 29