Fomin, Sergey; Shustin, Eugenii Expressive curves. (English) Zbl 1525.14038 Commun. Am. Math. Soc. 3, 669-743 (2023). Reviewer: Jose Capco (Linz) MSC: 14H50 14H20 14H45 14P05 14Q05 51N10 PDFBibTeX XMLCite \textit{S. Fomin} and \textit{E. Shustin}, Commun. Am. Math. Soc. 3, 669--743 (2023; Zbl 1525.14038) Full Text: DOI arXiv
Shustin, Eugenii Enumeration of non-nodal real plane rational curves. arXiv:2209.05932 Preprint, arXiv:2209.05932 [math.AG] (2022). MSC: 14N10 14H15 14H20 14P05 BibTeX Cite \textit{E. Shustin}, ``Enumeration of non-nodal real plane rational curves'', Preprint, arXiv:2209.05932 [math.AG] (2022) Full Text: arXiv OA License
Shustin, Eugenii Singular Welschinger invariants. (English) Zbl 1441.14098 J. Singul. 20, 79-94 (2020). MSC: 14H20 32S05 53D45 14P05 PDFBibTeX XMLCite \textit{E. Shustin}, J. Singul. 20, 79--94 (2020; Zbl 1441.14098) Full Text: DOI arXiv
Touzé, S. Fiedler-Le; Orevkov, S.; Shustin, E. Corrigendum to “A flexible affine \(M\)-sextic which is algebraically unrealizable”. (English) Zbl 1441.14193 J. Algebr. Geom. 29, No. 1, 109-121 (2020). MSC: 14P05 14H50 PDFBibTeX XMLCite \textit{S. F. L. Touzé} et al., J. Algebr. Geom. 29, No. 1, 109--121 (2020; Zbl 1441.14193) Full Text: DOI arXiv
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii [Viro, Oleg] Singular algebraic curves. With an appendix by Oleg Viro. (English) Zbl 1411.14001 Springer Monographs in Mathematics. Cham: Springer (ISBN 978-3-030-03349-1/hbk; 978-3-030-03350-7/ebook). xx, 553 p. (2018). Reviewer: Aleksandr G. Aleksandrov (Moskva) MSC: 14-02 14Bxx 14Pxx 32Sxx 58Kxx PDFBibTeX XMLCite \textit{G.-M. Greuel} et al., Singular algebraic curves. With an appendix by Oleg Viro. Cham: Springer (2018; Zbl 1411.14001) Full Text: DOI
Shustin, Eugenii On Welschinger invariants of descendant type. (English) Zbl 1374.14043 Decker, Wolfram (ed.) et al., Singularities and computer algebra. Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday. Based on the conference, Lambrecht (Pfalz), Germany, June 2015. Cham: Springer (ISBN 978-3-319-28828-4/hbk; 978-3-319-28829-1/ebook). 275-304 (2017). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14N35 14H10 14J26 14P05 PDFBibTeX XMLCite \textit{E. Shustin}, in: Singularities and computer algebra. Festschrift for Gert-Martin Greuel on the occasion of his 70th birthday. Based on the conference, Lambrecht (Pfalz), Germany, June 2015. Cham: Springer. 275--304 (2017; Zbl 1374.14043) Full Text: DOI arXiv
Orevkov, S. Yu.; Shustin, E. I. Real algebraic and pseudoholomorphic curves on the quadratic cone and smoothings of the singularity \(X_{21}\). (English. Russian original) Zbl 1365.14079 St. Petersbg. Math. J. 28, No. 2, 225-257 (2017); translation from Algebra Anal. 28, No. 2, 138-186 (2016). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P25 14B05 32Q65 32S45 PDFBibTeX XMLCite \textit{S. Yu. Orevkov} and \textit{E. I. Shustin}, St. Petersbg. Math. J. 28, No. 2, 225--257 (2017; Zbl 1365.14079); translation from Algebra Anal. 28, No. 2, 138--186 (2016) Full Text: DOI
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii Welschinger invariants of real del Pezzo surfaces of degree \(\geq 2\). (English) Zbl 1351.14035 Int. J. Math. 26, No. 8, Article ID 1550060, 63 p. (2015). MSC: 14N10 14P05 14J26 14N35 PDFBibTeX XMLCite \textit{I. Itenberg} et al., Int. J. Math. 26, No. 8, Article ID 1550060, 63 p. (2015; Zbl 1351.14035) Full Text: DOI arXiv
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii Welschinger invariants of small non-toric del Pezzo surfaces. (English) Zbl 1307.14073 J. Eur. Math. Soc. (JEMS) 15, No. 2, 539-594 (2013). Reviewer: Hannah Markwig (Göttingen) MSC: 14N10 14P05 14T05 14N35 PDFBibTeX XMLCite \textit{I. Itenberg} et al., J. Eur. Math. Soc. (JEMS) 15, No. 2, 539--594 (2013; Zbl 1307.14073) Full Text: DOI arXiv
Shustin, Eugenii Tropical and algebraic curves with multiple points. (English) Zbl 1291.14084 Itenberg, Ilia (ed.) et al., Perspectives in analysis, geometry, and topology. On the occasion of the 60th birthday of Oleg Viro. Based on the Marcus Wallenberg symposium on perspectives in analysis, geometry, and topology, Stockholm, Sweden, May 19–25, 2008. Basel: Birkhäuser (ISBN 978-0-8176-8276-7/hbk; 978-0-8176-8277-4/ebook). Progress in Mathematics 296, 431-464 (2012). Reviewer: Ilia Itenberg (Paris) MSC: 14N35 14N10 14B07 14P05 PDFBibTeX XMLCite \textit{E. Shustin}, Prog. Math. 296, 431--464 (2012; Zbl 1291.14084) Full Text: DOI arXiv
Itenberg, Ilia; Mikhalkin, Grigory; Shustin, Eugenii Tropical algebraic geometry. 2nd ed. (English) Zbl 1165.14002 Oberwolfach Seminars 35. Basel: Birkhäuser (ISBN 978-3-0346-0047-7/pbk). viii, 104 p. (2009). Reviewer: Alexander Esterov (Moscow) MSC: 14-01 14-02 14T05 15A80 14M25 14N35 14N10 52B20 14P25 14H99 PDFBibTeX XMLCite \textit{I. Itenberg} et al., Tropical algebraic geometry. 2nd ed. Basel: Birkhäuser (2009; Zbl 1165.14002)
Itenberg, Ilia; Kharlamov, Viatcheslav; Shustin, Eugenii A Caporaso-Harris type formula for Welschinger invariants of real toric Del Pezzo surfaces. (English) Zbl 1184.14092 Comment. Math. Helv. 84, No. 1, 87-126 (2009). Reviewer: Hannah Markwig (Göttingen) MSC: 14T05 14N10 14P05 14N35 51N35 PDFBibTeX XMLCite \textit{I. Itenberg} et al., Comment. Math. Helv. 84, No. 1, 87--126 (2009; Zbl 1184.14092) Full Text: DOI arXiv Link
Shustin, Eugenii Welschinger invariants of toric del Pezzo surfaces with nonstandard real structures. (English) Zbl 1184.14083 Proc. Steklov Inst. Math. 258, 218-246 (2007) and Tr. Mat. Inst. Steklova 258, 227-255 (2007). Reviewer: Ilia Itenberg (Strasbourg) MSC: 14N10 14N35 14T05 14P25 PDFBibTeX XMLCite \textit{E. Shustin}, Proc. Steklov Inst. Math. 258, 218--246 (2007; Zbl 1184.14083) Full Text: DOI
Itenberg, Ilia; Mikhalkin, Grigory; Shustin, Eugenii Tropical algebraic geometry. (English) Zbl 1162.14300 Oberwolfach Seminars 35. Basel: Birkhäuser (ISBN 978-3-7643-8309-1/pbk). viii, 103 p. (2007). MSC: 14-02 14M25 14N10 52B20 14P25 14H99 PDFBibTeX XMLCite \textit{I. Itenberg} et al., Tropical algebraic geometry. Basel: Birkhäuser (2007; Zbl 1162.14300)
Shustin, Eugenii The patchworking construction in tropical enumerative geometry. (English) Zbl 1105.14036 Lossen, Christoph (ed.) et al., Singularities and computer algebra. Selected papers of the conference, Kaiserslautern, Germany, October 18–20, 2004 on the occasion of Gert-Martin Greuel’s 60th birthday. Cambridge: Cambridge University Press (ISBN 0-521-68309-2/pbk). London Mathematical Society Lecture Note Series 324, 273-300 (2006). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14H15 14H20 14P05 14M25 PDFBibTeX XMLCite \textit{E. Shustin}, Lond. Math. Soc. Lect. Note Ser. 324, 273--300 (2006; Zbl 1105.14036)
Shustin, Eugenii A tropical calculation of the Welschinger invariants of real toric Del Pezzo surfaces. (English) Zbl 1118.14059 J. Algebr. Geom. 15, No. 2, 285-322 (2006). Reviewer: Ilia Itenberg (Strasbourg) MSC: 14N10 14P05 14N35 14J26 PDFBibTeX XMLCite \textit{E. Shustin}, J. Algebr. Geom. 15, No. 2, 285--322 (2006; Zbl 1118.14059) Full Text: DOI arXiv
Shustin, E. A tropical approach to enumerative geometry. (English) Zbl 1100.14046 St. Petersbg. Math. J. 17, No. 2, 343-375 (2006); and Algebra Anal. 17, No. 2, 170-214 (2005). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P05 14N10 14H15 14M25 PDFBibTeX XMLCite \textit{E. Shustin}, St. Petersbg. Math. J. 17, No. 2, 343--375 (2006; Zbl 1100.14046) Full Text: DOI
Itenberg, I. V.; Kharlamov, V. M.; Shustin, E. I. Logarithmic equivalence of the Welschinger and the Gromov-Witten invariants. (English. Russian original) Zbl 1086.14047 Russ. Math. Surv. 59, No. 6, 1093-1116 (2004); translation from Usp. Mat. Nauk 59, No. 6, 85-110 (2004). Reviewer: Victor Przyjalkowski (Moskva) MSC: 14N35 14N10 14M25 14J26 PDFBibTeX XMLCite \textit{I. V. Itenberg} et al., Russ. Math. Surv. 59, No. 6, 1093--1116 (2004; Zbl 1086.14047); translation from Usp. Mat. Nauk 59, No. 6, 85--110 (2004) Full Text: DOI arXiv
Orevkov, S. Yu.; Shustin, E. I. Pseudoholomorphic algebraically unrealizable curves. (English) Zbl 1049.14044 Mosc. Math. J. 3, No. 3, 1053-1083 (2003). MSC: 14P25 57M25 14H50 PDFBibTeX XMLCite \textit{S. Yu. Orevkov} and \textit{E. I. Shustin}, Mosc. Math. J. 3, No. 3, 1053--1083 (2003; Zbl 1049.14044) Full Text: Link
Itenberg, Ilia; Shustin, Eugenii Combinatorial patchworking of real pseudo-holomorphic curves. (English) Zbl 1047.14047 Turk. J. Math. 26, No. 1, 27-51 (2002). MSC: 14P25 14H50 14F45 32Q65 PDFBibTeX XMLCite \textit{I. Itenberg} and \textit{E. Shustin}, Turk. J. Math. 26, No. 1, 27--51 (2002; Zbl 1047.14047)
Kharlamov, V.; Risler, J.-J.; Shustin, E. Maximal smoothings of real plane curve singular points. (English) Zbl 0988.14025 Turaev, V. (ed.) et al., Topology, ergodic theory, real algebraic geometry. Rokhlin’s memorial. Providence, RI: American Mathematical Society (AMS). Transl., Ser. 2, Am. Math. Soc. 202(50), 167-195 (2001). Reviewer: Johannes Huisman (Rennes) MSC: 14P25 14H20 PDFBibTeX XMLCite \textit{V. Kharlamov} et al., Transl., Ser. 2, Am. Math. Soc. 202, 167--195 (2001; Zbl 0988.14025)
Shustin, Eugenii Deformation of complete intersections in the plane. (English) Zbl 1014.14008 Bull. Lond. Math. Soc. 32, No. 2, 177-181 (2000). Reviewer: Eugenii I.Shustin (Tel Aviv) MSC: 14H50 14M10 14P05 PDFBibTeX XMLCite \textit{E. Shustin}, Bull. Lond. Math. Soc. 32, No. 2, 177--181 (2000; Zbl 1014.14008) Full Text: DOI
Kharlamov, V. M.; Orevkov, S. Yu.; Shustin, E. I. Singularity which has no \(M\)-smoothing. (English) Zbl 0978.14048 Bierstone, Edward (ed.) et al., The Arnoldfest. Proceedings of a conference in honour of V. I. Arnold for his 60th birthday, Toronto, Canada, June 15-21, 1997. Providence, RI: American Mathematical Society. Fields Inst. Commun. 24, 273-309 (1999). Reviewer: Z.Hajto (Kraków) MSC: 14P25 14B05 57R95 57M25 14H20 PDFBibTeX XMLCite \textit{V. M. Kharlamov} et al., Fields Inst. Commun. 24, 273--309 (1999; Zbl 0978.14048)
Greuel, Gert-Martin; Shustin, Eugenii Geometry of equisingular families of curves. (English) Zbl 0953.14015 Bruce, Bill (ed.) et al., Singularity theory. Proceedings of the European singularities conference, Liverpool, UK, August 18-24, 1996. Dedicated to C.T.C. Wall on the occasion of his 60th birthday. Cambridge: Cambridge University Press. Lond. Math. Soc. Lect. Note Ser. 263, 79-108 (1999). MSC: 14H20 14E15 14H10 14H50 14P25 PDFBibTeX XMLCite \textit{G.-M. Greuel} and \textit{E. Shustin}, Lond. Math. Soc. Lect. Note Ser. 263, 79--108 (1999; Zbl 0953.14015)
Finashin, Sergej; Shustin, Eugenij On imaginary plane curves and spin quotients of complex surfaces by complex conjugation. (English) Zbl 0921.14013 Khovanskij, A. (ed.) et al., Topics in singularity theory. V. I. Arnold’s 60th anniversary collection. Providence, RI: American Mathematical Society. Transl., Ser. 2, Am. Math. Soc. 180(34), 93-101 (1997). MSC: 14H20 57N13 14P25 14J25 PDFBibTeX XMLCite \textit{S. Finashin} and \textit{E. Shustin}, Transl., Ser. 2, Am. Math. Soc. 180, 93--101 (1997; Zbl 0921.14013) Full Text: arXiv
Itenberg, Ilia; Shustin, Eugenij Real algebraic curves with real cusps. (English) Zbl 0874.14013 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, 97-109 (1996). MSC: 14H20 14P25 14N10 PDFBibTeX XMLCite \textit{I. Itenberg} and \textit{E. Shustin}, Transl., Ser. 2, Am. Math. Soc. 173, 97--109 (1996; Zbl 0874.14013)
Shustin, Eugenii Real plane algebraic curves with prescribed singularities. (English) Zbl 0845.14017 Topology 32, No. 4, 845-856 (1993). Reviewer: E.I.Shustin (Tel Aviv) MSC: 14H20 14P05 PDFBibTeX XMLCite \textit{E. Shustin}, Topology 32, No. 4, 845--856 (1993; Zbl 0845.14017) Full Text: DOI
Shustin, E. I. Topology of \(M\)-curves with deep nest. (Russian) Zbl 0806.14044 Voskresenskij, E. V. (ed.), Arithmetic and geometry of manifolds. Interuniversity collection of scientific works. Samara: Samarskij Gosudarstvennyj Universitet. 147-158 (1992). MSC: 14P25 14N05 14H45 PDFBibTeX XMLCite \textit{E. I. Shustin}, in: Аритметика и геометрия многообразий. Межвузовский сборник научных статей. Samara: Samarskij Gosudarstvennyj Universitet. 147--158 (1992; Zbl 0806.14044)
Shustin, E. I. Real plane algebraic curves with many singularities. (English) Zbl 0786.14035 Real algebraic geometry, Proc. Conf., Rennes/Fr. 1991, Lect. Notes Math. 1524, 389-401 (1992). Reviewer: M.Coste (Rennes) MSC: 14P25 14H20 PDFBibTeX XMLCite \textit{E. I. Shustin}, Lect. Notes Math. 1524, 389--401 (1992; Zbl 0786.14035)
Shustin, E. I. Topology of real plane algebraic curves. (English) Zbl 0788.14052 Real algebraic geometry, Proc. Conf., Rennes/Fr. 1991, Lect. Notes Math. 1524, 97-109 (1992). Reviewer: F.Broglia (Pisa) MSC: 14P05 14H45 14F45 PDFBibTeX XMLCite \textit{E. I. Shustin}, Lect. Notes Math. 1524, 97--109 (1992; Zbl 0788.14052)
Shustin, Eugenij I. Geometry of discriminant and topology of algebraic curves. (English) Zbl 0802.14013 Proc. Int. Congr. Math., Kyoto/Japan 1990, Vol. I, 559-567 (1991). MSC: 14H20 14H45 14B05 14B07 PDFBibTeX XMLCite \textit{E. I. Shustin}, in: Proceedings of the international congress of mathematicians (ICM), August 21--29, 1990, Kyoto, Japan. Volume I. Tokyo etc.: Springer-Verlag. 559--567 (1991; Zbl 0802.14013)
Shustin, E. I. Dynamical systems in \(\mathbb{C}^ 2\) and real curves of degree 8. (Russian) Zbl 0806.14043 Shil’nikov, M. P. (ed.), Methods in qualitative theory and bifurcation theory. Interuniversity collection of scientific works. Nizhnij Novgorod: Nizhegorodskij Gosudarstvennyj Universitet. 120-129 (1991). Reviewer: G.Osipenko (St.Peterburg) MSC: 14P05 14H45 37-XX PDFBibTeX XMLCite \textit{E. I. Shustin}, in: Metody kachestvennoj teorii i teorii bifurkatsij. Mezhvuzovskij sbornik nauchnykh trudov. Nizhnij Novgorod: Nizhegorodskij Gosudarstvennyj Universitet. 120--129 (1991; Zbl 0806.14043)
Shustin, E. I. New restrictions on the topology of real curves of degree a multiple of 8. (English. Russian original) Zbl 0732.14027 Math. USSR, Izv. 37, No. 2, 421-443 (1991); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 5, 1069-1089 (1990). MSC: 14P25 14F45 14H45 14N10 PDFBibTeX XMLCite \textit{E. I. Shustin}, Math. USSR, Izv. 37, No. 2, 421--443 (1991; Zbl 0732.14027); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 5, 1069--1089 (1990) Full Text: DOI
Shustin, E. I. New restrictions on the topology of real curves of degree a multiple of 8. (Russian) Zbl 0717.14027 Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 5, 1069-1089 (1990). Reviewer: P.E.Newstead MSC: 14P25 14F45 14H45 14N05 PDFBibTeX XMLCite \textit{E. I. Shustin}, Izv. Akad. Nauk SSSR, Ser. Mat. 54, No. 5, 1069--1089 (1990; Zbl 0717.14027)
Shustin, E. I. New M- and (M-1)-curves of degree 8. (English) Zbl 0686.14028 Topology and geometry, Rohlin Semin. 1984-1986, Lect. Notes Math. 1346, 487-493 (1988). Reviewer: G.Ishikawa MSC: 14Pxx 14H99 14N05 14B05 PDFBibTeX XML
Shustin, E. I. Hyperbolic and minimal smoothings of singular points. (English. Russian original) Zbl 0788.14002 Sel. Math. Sov. 10, No. 1, 19-25 (1991); translation from Methods of the qualitative theory of differential equations, Gorkij, 165-173 (1986). Reviewer: St.Janeczko (Warszawa) MSC: 14B05 14J17 14H20 14P05 14J70 PDFBibTeX XMLCite \textit{E. I. Shustin}, Sel. Math. Sov. 10, No. 1, 19--25 (1986; Zbl 0788.14002); translation from Methods of the qualitative theory of differential equations, Gorkij, 165--173 (1986)
Shustin, E. I. Counterexamples to a conjecture of Rokhlin. (English. Russian original) Zbl 0587.14035 Funct. Anal. Appl. 19, 162-163 (1985); translation from Funkts. Anal. Prilozh. 19, No. 2, 94-95 (1985). Reviewer: A.S.Kondrat’ev MSC: 14N05 14H45 14Pxx PDFBibTeX XMLCite \textit{E. I. Shustin}, Funct. Anal. Appl. 19, 162--163 (1985; Zbl 0587.14035); translation from Funkts. Anal. Prilozh. 19, No. 2, 94--95 (1985) Full Text: DOI