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Publications in Math-Net.Ru |
Citations |
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2023 |
1. |
A. L. Chistov, “An algorithm for factoring polynomials in the ring of multivariable formal power series in zero–characteristic. II”, Zap. Nauchn. Sem. POMI, 528 (2023), 261–290 |
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2022 |
2. |
A. L. Chistov, “An algorithm for factoring polynomials in the ring of multivariable formal power series in zero–characteristic”, Zap. Nauchn. Sem. POMI, 517 (2022), 268–290 |
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2021 |
3. |
A. L. Chistov, “An efficient algorithm for testing the solvability for a system of polynomial equations over $p$-adic integers”, Algebra i Analiz, 33:6 (2021), 162–196 ; St. Petersburg Math. J., 33:6 (2022), 1011–1033 |
4. |
A. L. Chistov, “An effective construction of a small number of equations defining an algebraic variety”, Zap. Nauchn. Sem. POMI, 507 (2021), 140–156 |
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2020 |
5. |
A. L. Chistov, “Subexponential-time computation of isolated primary components of a polynomial ideal”, Zap. Nauchn. Sem. POMI, 498 (2020), 64–74 |
1
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6. |
A. L. Chistov, “Efficient estimation of roots from the field of fractional power series of a given polynomial in nonzero characteristic”, Zap. Nauchn. Sem. POMI, 498 (2020), 55–63 |
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2019 |
7. |
A. L. Chistov, “Systems with parameters, or efficiently solving systems of polynomial equations 33 years later”, Zap. Nauchn. Sem. POMI, 481 (2019), 146–177 |
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2018 |
8. |
A. L. Chistov, “Systems with parameters, or efficiently solving systems of polynomial equations: 33 years later. II”, Zap. Nauchn. Sem. POMI, 468 (2018), 138–176 ; J. Math. Sci. (N. Y.), 240:5 (2019), 594–616 |
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2017 |
9. |
A. L. Chistov, “Systems with parameters, or efficiently solving systems of polynomial equations: 33 years later. I”, Zap. Nauchn. Sem. POMI, 462 (2017), 122–166 ; J. Math. Sci. (N. Y.), 232:2 (2018), 177–203 |
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2016 |
10. |
A. L. Chistov, “Extension of the Newton–Puiseux algorithm to the case of a nonzero characteristic ground field. I”, Algebra i Analiz, 28:6 (2016), 147–188 ; St. Petersburg Math. J., 28:6 (2017), 825–853 |
2
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11. |
A. L. Chistov, “Efficient absolute factorization of polynomials with parametric coefficients”, Zap. Nauchn. Sem. POMI, 448 (2016), 286–325 ; J. Math. Sci. (N. Y.), 224:2 (2017), 360–384 |
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2015 |
12. |
A. L. Chistov, “Computations with parameters: a theoretical background”, Zap. Nauchn. Sem. POMI, 436 (2015), 219–239 ; J. Math. Sci. (N. Y.), 215:6 (2016), 769–781 |
4
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13. |
A. L. Chistov, “A deterministic polynomial-time algorithm for the first Bertini theorem. III”, Zap. Nauchn. Sem. POMI, 432 (2015), 297–323 ; J. Math. Sci. (N. Y.), 209:6 (2015), 1005–1019 |
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2014 |
14. |
A. L. Chistov, “A deterministic polynomial-time algorithm for the first Bertini theorem. II”, Zap. Nauchn. Sem. POMI, 421 (2014), 214–249 ; J. Math. Sci. (N. Y.), 200:6 (2014), 769–784 |
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2013 |
15. |
A. L. Chistov, “A deterministic polynomial-time algorithm for the first Bertini theorem. I”, Zap. Nauchn. Sem. POMI, 411 (2013), 191–239 ; J. Math. Sci. (N. Y.), 196:2 (2014), 223–243 |
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2012 |
16. |
A. L. Chistov, “Estimating the power of a system of equations that determines a variety of reducible polynomials”, Algebra i Analiz, 24:3 (2012), 199–222 ; St. Petersburg Math. J., 24:3 (2013), 513–528 |
10
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17. |
A. L. Chistov, “An effective version of the first Bertini theorem in nonzero characteristic and its applications”, Zap. Nauchn. Sem. POMI, 403 (2012), 172–196 ; J. Math. Sci. (N. Y.), 190:3 (2013), 503–514 |
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2011 |
18. |
A. L. Chistov, “An improvement of the complexity bound for solving systems of polynomial equations”, Zap. Nauchn. Sem. POMI, 390 (2011), 299–306 ; J. Math. Sci. (N. Y.), 181:6 (2012), 921–924 |
10
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19. |
A. L. Chistov, “Effective construction of a nonsingular in codimension one algebraic variety over a zero-characteristic ground field”, Zap. Nauchn. Sem. POMI, 387 (2011), 167–188 ; J. Math. Sci. (N. Y.), 179:6 (2011), 729–740 |
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2010 |
20. |
A. L. Chistov, “Polynomial-time algorithms for a new model of representation of algebraic varieties (in characteristic zero)”, Zap. Nauchn. Sem. POMI, 378 (2010), 133–170 ; J. Math. Sci. (N. Y.), 174:1 (2011), 71–89 |
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2009 |
21. |
A. L. Chistov, “Эффективная нормализация неособого в коразмерности один алгебраического многообразия”, Dokl. Akad. Nauk, 427:5 (2009), 605–608 ; Dokl. Math., 80:1 (2009), 577–580 |
3
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22. |
A. L. Chistov, “An overview of effective normalization of a nonsingular in codimension one projective algebraic variety”, Zap. Nauchn. Sem. POMI, 373 (2009), 295–317 ; J. Math. Sci. (N. Y.), 168:3 (2010), 478–490 |
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2008 |
23. |
A. L. Chistov, “Double-exponential lower bound for the degree of any system of generators of a polynomial prime ideal”, Algebra i Analiz, 20:6 (2008), 186–213 ; St. Petersburg Math. J., 20:6 (2009), 983–1001 |
12
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24. |
D. Yu. Grigoriev, A. L. Chistov, “Complexity of the Standard Basis of a $D$-Module”, Algebra i Analiz, 20:5 (2008), 41–82 ; St. Petersburg Math. J., 20:5 (2009), 709–736 |
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25. |
A. L. Chistov, “Polynomial-time computation of the degree of a dominant morphism in zero characteristic. IV”, Zap. Nauchn. Sem. POMI, 360 (2008), 260–294 ; J. Math. Sci. (N. Y.), 158:6 (2009), 912–927 |
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2007 |
26. |
A. L. Chistov, “Inequalities for Hilbert functions and primary decompositions”, Algebra i Analiz, 19:6 (2007), 143–172 ; St. Petersburg Math. J., 19:6 (2008), 975–994 |
1
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27. |
A. L. Chistov, “Polynomial-time computation of the degree of a
dominant morphism in zero characteristic. III”, Zap. Nauchn. Sem. POMI, 344 (2007), 203–239 ; J. Math. Sci. (N. Y.), 147:6 (2007), 7234–7250 |
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2005 |
28. |
A. L. Chistov, “Efficient construction of local parameters of irreducible components of an algebraic variety in nonzero characteristic”, Zap. Nauchn. Sem. POMI, 326 (2005), 248–278 ; J. Math. Sci. (N. Y.), 140:3 (2007), 480–496 |
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29. |
A. L. Chistov, “Polynomial-time computation of the degree of a dominant morphism in zero characteristic. II”, Zap. Nauchn. Sem. POMI, 325 (2005), 181–224 ; J. Math. Sci. (N. Y.), 138:3 (2006), 5733–5752 |
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2004 |
30. |
A. L. Chistov, “Polynomial-time computation of the degree of a dominant morphism in characteristic zero. I”, Zap. Nauchn. Sem. POMI, 307 (2004), 189–235 ; J. Math. Sci. (N. Y.), 131:2 (2005), 5547–5568 |
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2002 |
31. |
A. L. Chistov, “Monodromy and irreducibility criteria with algorithmic applications in zero characteristic”, Zap. Nauchn. Sem. POMI, 292 (2002), 130–152 ; J. Math. Sci. (N. Y.), 126:2 (2005), 1117–1127 |
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2000 |
32. |
A. L. Chistov, “Efficient smooth stratification of an algebraic variety in zero characteristic and its applications”, Zap. Nauchn. Sem. POMI, 266 (2000), 254–311 ; J. Math. Sci. (N. Y.), 113:5 (2003), 689–717 |
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1999 |
33. |
A. L. Chistov, “Polynomial-time computation of degrees of algebraic varieties in zero-characteristic and its applications”, Zap. Nauchn. Sem. POMI, 258 (1999), 7–59 ; J. Math. Sci. (New York), 108:6 (2002), 897–933 |
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34. |
A. L. Chistov, “Strong version of the basic deciding algorithm for the existential theory of real fields”, Zap. Nauchn. Sem. POMI, 256 (1999), 168–211 ; J. Math. Sci. (New York), 107:5 (2001), 4265–4295 |
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1991 |
35. |
A. L. Chistov, “Polynomial-time factoring polynomials over local fields”, Zap. Nauchn. Sem. LOMI, 192 (1991), 112–148 ; J. Math. Sci., 70:4 (1994), 1912–1933 |
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1989 |
36. |
A. L. Chistov, “The complexity of the construction of the ring of integers of a
global field”, Dokl. Akad. Nauk SSSR, 306:5 (1989), 1063–1067 ; Dokl. Math., 39:3 (1989), 597–600 |
1
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37. |
A. L. Chistov, “Polynomial-time algorithms for computational problems in the theory of algebraic curves”, Zap. Nauchn. Sem. LOMI, 176 (1989), 127–150 ; J. Soviet Math., 59:3 (1992), 855–867 |
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1987 |
38. |
A. L. Chistov, “Efficient factorization of polynomials over local fields”, Dokl. Akad. Nauk SSSR, 293:5 (1987), 1073–1077 |
1
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1984 |
39. |
D. Yu. Grigor'ev, A. L. Chistov, “Fast factorization of polynomials into irreducible ones and the
solution of systems of algebraic equations”, Dokl. Akad. Nauk SSSR, 275:6 (1984), 1302–1306 |
40. |
A. L. Chistov, “Polynomial-time factoring of polynomials and finding the compounds of a variety within the aubexponential time”, Zap. Nauchn. Sem. LOMI, 137 (1984), 124–188 |
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1978 |
41. |
A. L. Chistov, “On the number of generators of a semigroup of classes of algebraic tori relative to stable equivalence”, Dokl. Akad. Nauk SSSR, 242:5 (1978), 1027–1029 |
1
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42. |
M. I. Bashmakov, A. L. Chistov, “Rationality of a class of tori”, Trudy Mat. Inst. Steklov., 148 (1978), 27–29 ; Proc. Steklov Inst. Math., 148 (1980), 23–25 |
2
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1976 |
43. |
A. L. Chistov, “Birational equivalence of tori with a cyclic splitting field”, Zap. Nauchn. Sem. LOMI, 64 (1976), 153–158 ; J. Soviet Math., 17:2 (1981), 1819–1823 |
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Presentations in Math-Net.Ru |
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