Tsikh Avgust Karlovich

Publications in Math-Net.Ru

1. On the non-standard interpolations in $\mathbb{C}^n$ and combinatorial coefficients for Weil polyhedra
   
   J. Sib. Fed. Univ. Math. Phys., 16:6 (2023),  758–772
2. Mellin transforms for rational functions with quasi-elliptic denominators
   
   J. Sib. Fed. Univ. Math. Phys., 16:6 (2023),  738–750
3. Multidimensional Hermite interpolation
   
   Sib. Èlektron. Mat. Izv., 20:2 (2023),  700–710
4. On a multidimensional version of the principal theorem of difference equations with constant coefficients
   
   J. Sib. Fed. Univ. Math. Phys., 15:1 (2022),  125–132
5. Geometry of factorization identities for discriminants
   
   Dokl. RAN. Math. Inf. Proc. Upr., 493 (2020),  21–25
6. Domains of convergence for $A$-hypergeometric series and integrals
   
   J. Sib. Fed. Univ. Math. Phys., 12:4 (2019),  509–529
7. Singular points of complex algebraic hypersurfaces
   
   J. Sib. Fed. Univ. Math. Phys., 11:6 (2018),  670–679
8. Rational expressions for multiple roots of algebraic equations
   
   Mat. Sb., 209:10 (2018),  3–30
9. On the structure of the classical discriminant
   
   J. Sib. Fed. Univ. Math. Phys., 8:4 (2015),  426–436
10. Singular strata of cuspidal type for the classical discriminant
    
    Mat. Sb., 206:2 (2015),  119–148
11. On the asymptotic of homological solutions to linear multidimensional difference equations
    
    J. Sib. Fed. Univ. Math. Phys., 7:4 (2014),  417–430
12. The discriminant locus of a system of $n$ Laurent polynomials in $n$ variables
    
    Izv. RAN. Ser. Mat., 76:5 (2012),  29–56
13. On amoebas of algebraic sets of higher codimension
    
    Trudy Mat. Inst. Steklova, 279 (2012),  59–71
14. On the Asymptotics of Laurent Coefficients and its Application in Statistical Mechanics
    
    J. Sib. Fed. Univ. Math. Phys., 2:4 (2009),  483–493
15. Domains of Convergence of Hypergeometric Series of Several Complex Variables
    
    J. Sib. Fed. Univ. Math. Phys., 2:2 (2009),  221–229
16. Multi-Logarithmic Differential Forms on Complete Intersections
    
    J. Sib. Fed. Univ. Math. Phys., 1:2 (2008),  105–124
17. Multidimensional versions of Poincaré's theorem for difference equations
    
    Mat. Sb., 199:10 (2008),  87–104
18. Residue currents
    
    Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 108 (2006),  181–264
19. Residual Kernels with Singularities on Coordinate Planes
    
    Trudy Mat. Inst. Steklova, 253 (2006),  277–295
20. Asymptotics of multidimensional difference equations
    
    Uspekhi Mat. Nauk, 60:5(365) (2005),  171–172
21. Integral representations in linearly convex polyhedra
    
    Sibirsk. Mat. Zh., 46:3 (2005),  579–593
22. Investigation of multiple Mellin–Barnes integrals by means of multidimensional residues
    
    Sibirsk. Mat. Zh., 39:2 (1998),  281–298
23. Integration of rational functions over $\mathbb R^n$ by means of toric compactifications and multidimensional residues
    
    Mat. Sb., 187:9 (1996),  45–64
24. Iterated Mellin–Barnes integrals as periods on the Calabi–Yau manifolds with several modules
    
    TMF, 109:3 (1996),  381–394
25. On the structure of residue currents and functionals orthogonal to ideals in the space of holomorphic functions
    
    Izv. RAN. Ser. Mat., 59:5 (1995),  203–224
26. Homology reduction of cycles in the complement of an algebraic hypersurface
    
    Mat. Sb., 186:10 (1995),  31–40
27. On the relations between the local structure of holomorphic mappings, multidimensional residues and generalized Mellin transforms
    
    Dokl. Akad. Nauk, 325:4 (1992),  664–667
28. Conditions for absolute convergence of the Taylor coefficient series of a meromorphic function of two variables
    
    Mat. Sb., 182:11 (1991),  1588–1612
29. Integrals of rational functions over the space $\mathbf{R}^n$
    
    Dokl. Akad. Nauk SSSR, 307:6 (1989),  1325–1329
30. Cohomology of rational differential forms of degree $n$ in the space $\mathbb C^n$
    
    Mat. Zametki, 43:4 (1988),  522–532
31. Weakly holomorphic functions on complete intersections, and their holomorphic extension
    
    Mat. Sb. (N.S.), 133(175):4(8) (1987),  429–445
32. Higher-dimensional residues and their applications. Chapter 3
    
    Itogi Nauki i Tekhniki. Ser. Sovrem. Probl. Mat. Fund. Napr., 8 (1985),  45–64
33. A generalization of Bertini's theorem on the index of a prime ideal in the ring $O_a$
    
    Uspekhi Mat. Nauk, 40:2(242) (1985),  205–206
34. Criteria for representability of integrals over cycles by Grothendieck residues
    
    Dokl. Akad. Nauk SSSR, 277:5 (1984),  1083–1087
35. Singularities of the Grothendieck parametric residue and diagonals of a double power series
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1984, no. 4,  51–58
36. Local residues in $\mathbf C^n$. Algebraic applications
    
    Mat. Sb. (N.S.), 123(165):2 (1984),  230–242
37. Properties of the complete sum of residues with respect to a polynomial mapping, and their applications
    
    Sibirsk. Mat. Zh., 25:4 (1984),  207–213
38. On the solution of systems of nonlinear algebraic equations using the multidimensional logarithmic residue. On the solvability in radicals
    
    Dokl. Akad. Nauk SSSR, 252:1 (1980),  11–14
39. A theorem on a complete sum of residues in $\mathbb CP^n$
    
    Uspekhi Mat. Nauk, 34:6(210) (1979),  207–210
40. Application of a multidimensional logarithmic residue to systems of nonlinear algebraic equations
    
    Sibirsk. Mat. Zh., 20:4 (1979),  699–707
41. The multiplicity of the zero of a system of holomorphic functions
    
    Sibirsk. Mat. Zh., 19:3 (1978),  693–697
42. The two-dimensional homology group of the complement of an algebraic curve in $CP^2$
    
    Izv. Vyssh. Uchebn. Zaved. Mat., 1977, no. 5,  122–124
43. Cycles that separate the zeros of analytic functions in $C^n$
    
    Sibirsk. Mat. Zh., 16:5 (1975),  1118–1121


44. Viktor Stepanovich Kulikov (on his 70th birthday)
    
    Uspekhi Mat. Nauk, 77:3(465) (2022),  179–181
45. Evgenii Mikhailovich Chirka (on his 75th birthday)
    
    Uspekhi Mat. Nauk, 73:6(444) (2018),  204–210