Korchagin, A. B. Newtonian and affine classifications of irreducible cubics. (English. Russian original) Zbl 1308.51022 St. Petersbg. Math. J. 24, No. 5, 759-781 (2013); translation from Algebra Anal. 24, No. 5, 94-123 (2012). Reviewer: Alex Degtyarev (Ankara) MSC: 51N10 01A45 14P25 14R05 14H50 PDFBibTeX XMLCite \textit{A. B. Korchagin}, St. Petersbg. Math. J. 24, No. 5, 759--781 (2013; Zbl 1308.51022); translation from Algebra Anal. 24, No. 5, 94--123 (2012) Full Text: DOI
Korchagin, A. B.; Polotovskiĭ, G. M. On arrangements of plane real quintics with respect to a pair of lines. (English. Russian original) Zbl 1206.14057 St. Petersbg. Math. J. 21, No. 2, 231-244 (2010); translation from Algebra Anal. 21, No. 2, 92-112 (2009). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14H50 14H10 PDFBibTeX XMLCite \textit{A. B. Korchagin} and \textit{G. M. Polotovskiĭ}, St. Petersbg. Math. J. 21, No. 2, 231--244 (2010; Zbl 1206.14057); translation from Algebra Anal. 21, No. 2, 92--112 (2009) Full Text: DOI
Korchagin, Anatoly B. Ordering cellular spaces with application to curves and knots. (English) Zbl 1173.57303 Discrete Comput. Geom. 40, No. 2, 289-311 (2008). MSC: 57Q99 57M25 14P10 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Discrete Comput. Geom. 40, No. 2, 289--311 (2008; Zbl 1173.57303) Full Text: DOI
Korchagin, A. B.; Smith, D. E. Patchworking singularities \(A_{\mu}\) and \(D_{\mu}\) and meanders of their smoothings. (English. Russian original) Zbl 1140.14321 J. Math. Sci., New York 131, No. 1, 5366-5380 (2005); and Zap. Nauchn. Semin. POMI 229, 193-217 (2003). MSC: 14P25 14H20 PDFBibTeX XMLCite \textit{A. B. Korchagin} and \textit{D. E. Smith}, J. Math. Sci., New York 131, No. 1, 5366--5380 (2005; Zbl 1140.14321) Full Text: DOI
Korchagin, Anatoly B. On vector fields with prescribed limit cycles. (English) Zbl 1138.34021 Qual. Theory Dyn. Syst. 6, No. 2, 217-232 (2005). Reviewer: Douglas S. Shafer (Charlotte) MSC: 34C07 34C05 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Qual. Theory Dyn. Syst. 6, No. 2, 217--232 (2005; Zbl 1138.34021) Full Text: DOI
Korchagin, Anatoly B.; Weinberg, David A. Quadric, cubic and quartic cones. (English) Zbl 1098.14001 Rocky Mt. J. Math. 35, No. 5, 1627-1656 (2005). MSC: 14-03 01A45 01A60 14R05 51N35 PDFBibTeX XMLCite \textit{A. B. Korchagin} and \textit{D. A. Weinberg}, Rocky Mt. J. Math. 35, No. 5, 1627--1656 (2005; Zbl 1098.14001) Full Text: DOI
Korchagin, Anatoly B. On birational monomial transformations of plane. (English) Zbl 1069.14016 Int. J. Math. Math. Sci. 2004, No. 29-32, 1671-1677 (2004). MSC: 14E07 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Int. J. Math. Math. Sci. 2004, No. 29--32, 1671--1677 (2004; Zbl 1069.14016) Full Text: DOI EuDML
Korchagin, Anatoly B.; Polotovskii, Grigory M. On arrangements of a plane real quintic curve with respect to a pair of lines. (English) Zbl 1077.14568 Commun. Contemp. Math. 5, No. 1, 1-24 (2003). MSC: 14P05 14H50 14P25 51N35 PDFBibTeX XMLCite \textit{A. B. Korchagin} and \textit{G. M. Polotovskii}, Commun. Contemp. Math. 5, No. 1, 1--24 (2003; Zbl 1077.14568) Full Text: DOI
Korchagin, Anatoly B.; Weinberg, David A. The isotopy classification of affine quartic curves. (English) Zbl 1092.14071 Rocky Mt. J. Math. 32, No. 1, 255-347 (2002). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P25 14N10 51N10 51N35 PDFBibTeX XMLCite \textit{A. B. Korchagin} and \textit{D. A. Weinberg}, Rocky Mt. J. Math. 32, No. 1, 255--347 (2002; Zbl 1092.14071) Full Text: DOI Link
Korchagin, Anatoly B. Restrictions on arrangements of ovals of projective algebraic curves of odd degree. (English) Zbl 0962.14033 Proc. Am. Math. Soc. 129, No. 2, 363-370 (2001). Reviewer: J.M.Gamboa (Madrid) MSC: 14P25 14H50 14P05 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Proc. Am. Math. Soc. 129, No. 2, 363--370 (2001; Zbl 0962.14033) Full Text: DOI
Korchagin, A. B. Smoothing of 6-fold singular points and constructions of 9th degree \(M\)-curves. (English) Zbl 0858.14029 Kharlamov, V. (ed.) et al., Topology of real algebraic varieties and related topics. Dedicated to the memory of D. A. Gudkov. Transl. ed. by A. B. Sossinsky. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 173, 141-155 (1996). Reviewer: E.I.Shustin (Tel Aviv) MSC: 14P25 14H20 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Transl., Ser. 2, Am. Math. Soc. 173, 141--155 (1996; Zbl 0858.14029)
Kharlamov, V. (ed.); Korchagin, A. (ed.); Polotovskij, G. (ed.); Viro, O. (ed.) Topology of real algebraic varieties and related topics. Dedicated to the memory of D. A. Gudkov. Transl. ed. by A. B. Sossinsky. (English) Zbl 0840.00012 Translations. Series 2. American Mathematical Society (AMS). Advances in the Mathematical Sciences 173(29). Providence, RI: American Mathematical Society (AMS). vi, 264 p. (1996). MSC: 00B15 14-06 57-06 PDFBibTeX XMLCite \textit{V. Kharlamov} (ed.) et al., Topology of real algebraic varieties and related topics. Dedicated to the memory of D. A. Gudkov. Transl. ed. by A. B. Sossinsky. Providence, RI: American Mathematical Society (1996; Zbl 0840.00012)
Arnol’d, V. I.; Vershik, A. M.; Viro, O. L.; Korchagin, A. B.; Leontovich- Andronova, E. A.; Novikov, S. P.; Olejnik, O. A.; Polotovskij, G. M.; Utkin, G. A.; Shustin, E. I. Dmitrij Andreevich Gudkov (obituary). (English. Russian original) Zbl 0788.01057 Russ. Math. Surv. 47, No. 6, 193-197 (1992); translation from Usp. Mat. Nauk 47, No. 6, 195-198 (1992). MSC: 01A70 01A60 PDFBibTeX XMLCite \textit{V. I. Arnol'd} et al., Russ. Math. Surv. 47, No. 6, 1 (1992; Zbl 0788.01057); translation from Usp. Mat. Nauk 47, No. 6, 195--198 (1992) Full Text: DOI
Korchagin, A. B. Construction of new \(M\)-curves of 9-th degree. (English) Zbl 0785.14033 Real algebraic geometry, Proc. Conf., Rennes/Fr. 1991, Lect. Notes Math. 1524, 296-307 (1992). Reviewer: E.I.Shustin (Tel Aviv) MSC: 14P25 14H45 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Lect. Notes Math. 1524, 296--307 (1992; Zbl 0785.14033)
Korchagin, A. B. New M-curves of degrees 8 and 9. (English. Russian original) Zbl 0714.14038 Sov. Math., Dokl. 39, No. 3, 569-572 (1989); translation from Dokl. Akad. Nauk SSSR 306, No. 5, 1038-1041 (1989). Reviewer: C.Turrini MSC: 14P25 14N10 14H45 14F35 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Sov. Math., Dokl. 39, No. 3, 569--572 (1989; Zbl 0714.14038); translation from Dokl. Akad. Nauk SSSR 306, No. 5, 1038--1041 (1989)
Korchagin, A. B.; Shustin, E. I. Affine curves of degree 6 and smoothings of a non-degenerate sixth order singular point. (English. Russian original) Zbl 0679.14011 Math. USSR, Izv. 33, No. 3, 501-520 (1989); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 52, No. 6, 1181-1199 (1988). Reviewer: V.F.Ignatenko MSC: 14H20 14B07 14N05 14H45 PDFBibTeX XMLCite \textit{A. B. Korchagin} and \textit{E. I. Shustin}, Math. USSR, Izv. 33, No. 3, 501--520 (1989; Zbl 0679.14011); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 52, No. 6, 1181--1199 (1988) Full Text: DOI
Korchagin, A. B. Isotopy classification of plane seventh degree curves with the only singular point \(Z_{15}\). (English) Zbl 0691.14014 Topology and geometry, Rohlin Semin 1984-1986, Lect. Notes Math. 1346, 407-426 (1988). Reviewer: F.Broglia MSC: 14Pxx 14H10 32C05 PDFBibTeX XML
Korchagin, A. B. M-curves of degree 9: New prohibitions. (English. Russian original) Zbl 0619.14017 Math. Notes 39, 150-154 (1986); translation from Mat. Zametki 39, No. 2, 277-283 (1986). Reviewer: N.V.Ivanov MSC: 14H99 14N05 14Pxx 14F45 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Math. Notes 39, 150--154 (1986; Zbl 0619.14017); translation from Mat. Zametki 39, No. 2, 277--283 (1986) Full Text: DOI
Korchagin, A. B. Curves of degree 9: Unrealizability of 12 types. (English. Russian original) Zbl 0797.14011 Sel. Math. Sov. 10, No. 2, 205-207 (1991); translation from Methods of the qualitative theory of differential equations, Gorkij, 72-76 (1985). MSC: 14H45 14N05 PDFBibTeX XMLCite \textit{A. B. Korchagin}, Sel. Math. Sov. 10, No. 2, 205--207 (1985; Zbl 0797.14011); translation from Methods of the qualitative theory of differential equations, Gorkij, 72--76 (1985)
Korchagin, A. B. New possibilities in the method of Brusotti for the construction of M- curves of an order \(\leq 8\). (Russian) Zbl 0458.14012 Methods of the qualitative theory of differential equations, Interuniv. Collect., Gor’kij 1978, 149-159 (1978). MSC: 14H45 14N10 PDFBibTeX XML