Degtyarev, Alex; Itenberg, Ilia Real plane sextics without real points. arXiv:2403.01252 Preprint, arXiv:2403.01252 [math.AG] (2024). MSC: 14J28 14P25 14H50 14H10 14J10 BibTeX Cite \textit{A. Degtyarev} and \textit{I. Itenberg}, ``Real plane sextics without real points'', Preprint, arXiv:2403.01252 [math.AG] (2024) Full Text: arXiv OA License
Brugallé, Erwan; Degtyarev, Alex; Itenberg, Ilia; Mangolte, Frédéric Real algebraic curves with large finite number of real points. (English) Zbl 1436.14095 Eur. J. Math. 5, No. 3, 686-711 (2019). Reviewer: Victor Zvonilov (Nizhny Novgorod) MSC: 14P25 14H50 14M25 PDFBibTeX XMLCite \textit{E. Brugallé} et al., Eur. J. Math. 5, No. 3, 686--711 (2019; Zbl 1436.14095) Full Text: DOI arXiv Link
Degtyarev, Alex The Alexander module of a trigonal curve. II. (English) Zbl 1360.14086 Blanlœil, Vincent (ed.) et al., Singularities in geometry and topology 2011. Proceedings of the 6th Franco-Japanese symposium on singularities, Fukuoka, Japan, September 5–10, 2011. Tokyo: Mathematical Society of Japan (MSJ) (ISBN 978-4-86497-026-6/hbk). Advanced Studies in Pure Mathematics 66, 47-69 (2015). MSC: 14H30 14H45 14H50 20F36 PDFBibTeX XMLCite \textit{A. Degtyarev}, Adv. Stud. Pure Math. 66, 47--69 (2015; Zbl 1360.14086) Full Text: arXiv
Degtyarev, Alex Projective spaces in Fermat varieties. arXiv:1512.06199 Preprint, arXiv:1512.06199 [math.AG] (2015). MSC: 14J25 14J05 14J70 14H30 BibTeX Cite \textit{A. Degtyarev}, ``Projective spaces in Fermat varieties'', Preprint, arXiv:1512.06199 [math.AG] (2015) Full Text: arXiv OA License
Degtyarev, Alex On the Artal-Carmona-Cogolludo construction. (English) Zbl 1309.14025 J. Knot Theory Ramifications 23, No. 5, Article ID 1450028, 35 p. (2014). Reviewer: Caterina Cumino (Torino) MSC: 14H45 14H30 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev}, J. Knot Theory Ramifications 23, No. 5, Article ID 1450028, 35 p. (2014; Zbl 1309.14025) Full Text: DOI arXiv
Degtyarev, Alex; Itenberg, Ilia; Zvonilov, Victor Real trigonal curves and real elliptic surfaces of type I. (English) Zbl 1314.14108 J. Reine Angew. Math. 686, 221-246 (2014). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14P25 14H10 14H57 14J26 14J27 PDFBibTeX XMLCite \textit{A. Degtyarev} et al., J. Reine Angew. Math. 686, 221--246 (2014; Zbl 1314.14108) Full Text: DOI arXiv
Degtyarev, Alex The Alexander module of a trigonal curve. (English) Zbl 1312.14080 Rev. Mat. Iberoam. 30, No. 1, 25-64 (2014). Reviewer: Hiroaki Nakamura (Osaka) MSC: 14H30 14H45 14H50 20F36 PDFBibTeX XMLCite \textit{A. Degtyarev}, Rev. Mat. Iberoam. 30, No. 1, 25--64 (2014; Zbl 1312.14080) Full Text: DOI arXiv
Degtyarev, Alex On plane sextics with double singular points. (English) Zbl 1282.14053 Pac. J. Math. 265, No. 2, 327-348 (2013). Reviewer: Caterina Cumino (Torino) MSC: 14H45 14H30 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev}, Pac. J. Math. 265, No. 2, 327--348 (2013; Zbl 1282.14053) Full Text: DOI arXiv
Degtyarev, Alex Dihedral coverings of trigonal curves. (English) Zbl 1311.14030 Indiana Univ. Math. J. 61, No. 3, 901-938 (2012). Reviewer: Caterina Cumino (Torino) MSC: 14H30 14H45 PDFBibTeX XMLCite \textit{A. Degtyarev}, Indiana Univ. Math. J. 61, No. 3, 901--938 (2012; Zbl 1311.14030) Full Text: DOI arXiv Link
Degtyarev, Alex Topology of algebraic curves. An approach via dessins d’enfants. (English) Zbl 1273.14065 de Gruyter Studies in Mathematics 44. Berlin: de Gruyter (ISBN 978-3-11-025591-1/hbk; 978-3-11-025842-4/ebook). xvi, 393 p. (2012). Reviewer: Ilia Itenberg (Paris) MSC: 14-02 14H50 14H30 14J27 14P25 14H57 20F36 11F06 05C90 PDFBibTeX XMLCite \textit{A. Degtyarev}, Topology of algebraic curves. An approach via dessins d'enfants. Berlin: de Gruyter (2012; Zbl 1273.14065) Full Text: DOI
Degtyarev, Alex The fundamental group of a generalized trigonal curve. (English) Zbl 1229.14025 Osaka J. Math. 48, No. 3, 749-782 (2011). Reviewer: Caterina Cumino (Torino) MSC: 14H45 14H30 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev}, Osaka J. Math. 48, No. 3, 749--782 (2011; Zbl 1229.14025) Full Text: arXiv Euclid
Degtyarev, Alex Plane sextics with a type \(\mathbf E_{6}\) singular point. (English) Zbl 1223.14034 Mich. Math. J. 60, No. 2, 243-269 (2011). Reviewer: Caterina Cumino (Torino) MSC: 14H45 14H20 14H30 PDFBibTeX XMLCite \textit{A. Degtyarev}, Mich. Math. J. 60, No. 2, 243--269 (2011; Zbl 1223.14034) Full Text: DOI arXiv
Degtyarev, Alex Topology of plane algebraic curves: the algebraic approach. (English) Zbl 1213.14061 Cogolludo-Agustín, José Ignacio (ed.) et al., Topology of algebraic varieties and singularities. Invited papers of the conference in honor of Anatoly Libgober’s 60th birthday, Jaca, Spain, June 22–26, 2009. Providence, RI: American Mathematical Society (AMS); Madrid: Real Sociedad Matemática Española (ISBN 978-0-8218-4890-6/pbk). Contemporary Mathematics 538, 137-161 (2011). MSC: 14H45 14H30 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev}, Contemp. Math. 538, 137--161 (2011; Zbl 1213.14061) Full Text: arXiv
Degtyarev, Alex Classical Zariski pairs. (English) Zbl 1292.14021 J. Singul. 2, 51-55 (2010). MSC: 14H45 14H30 14F35 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev}, J. Singul. 2, 51--55 (2010; Zbl 1292.14021) Full Text: DOI arXiv
Degtyarev, Alex Plane sextics with a type \(\mathbf{E}_8\) singular point. (English) Zbl 1206.14055 Tohoku Math. J. (2) 62, No. 3, 329-355 (2010). Reviewer: Caterina Cumino (Torino) MSC: 14H45 14H30 14H57 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev}, Tôhoku Math. J. (2) 62, No. 3, 329--355 (2010; Zbl 1206.14055) Full Text: DOI arXiv
Degtyarev, Alex Plane sextics via dessins d’enfants. (English) Zbl 1175.14024 Geom. Topol. 14, No. 1, 393-433 (2010). MSC: 14H57 14H45 14H30 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev}, Geom. Topol. 14, No. 1, 393--433 (2010; Zbl 1175.14024) Full Text: DOI arXiv
Degtyarev, Alex; Oka, Mutsuo A plane sextic with finite fundamental group. (English) Zbl 1193.14038 Brasselet, Jean-Paul (ed.) et al., Singularities, Niigata–Toyama 2007. Proceedings of the 4th Franco-Japanese symposium, Niigata, Toyama, Japan, August 27–31, 2007. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-55-6/hbk). Advanced Studies in Pure Mathematics 56, 93-108 (2009). Reviewer: Caterina Cumino (Torino) MSC: 14H30 14H45 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev} and \textit{M. Oka}, Adv. Stud. Pure Math. 56, 93--108 (2009; Zbl 1193.14038) Full Text: arXiv
Degtyarev, Alex On irreducible sextics with non-abelian fundamental group. (English) Zbl 1193.14037 Brasselet, Jean-Paul (ed.) et al., Singularities, Niigata–Toyama 2007. Proceedings of the 4th Franco-Japanese symposium, Niigata, Toyama, Japan, August 27–31, 2007. Tokyo: Mathematical Society of Japan (ISBN 978-4-931469-55-6/hbk). Advanced Studies in Pure Mathematics 56, 65-91 (2009). Reviewer: Caterina Cumino (Torino) MSC: 14H30 14H45 14H20 14H50 PDFBibTeX XMLCite \textit{A. Degtyarev}, Adv. Stud. Pure Math. 56, 65--91 (2009; Zbl 1193.14037) Full Text: arXiv
Degtyarev, Alex Irreducible plane sextics with large fundamental groups. (English) Zbl 1183.14040 J. Math. Soc. Japan 61, No. 4, 1131-1169 (2009). Reviewer: Caterina Cumino (Torino) MSC: 14H30 14H45 PDFBibTeX XMLCite \textit{A. Degtyarev}, J. Math. Soc. Japan 61, No. 4, 1131--1169 (2009; Zbl 1183.14040) Full Text: DOI arXiv Link
Degtyarev, Alex Fundamental groups of symmetric sextics. II. (English) Zbl 1173.14019 Proc. Lond. Math. Soc. (3) 99, No. 2, 353-385 (2009). Reviewer: Caterina Cumino (Torino) MSC: 14H30 14H45 PDFBibTeX XMLCite \textit{A. Degtyarev}, Proc. Lond. Math. Soc. (3) 99, No. 2, 353--385 (2009; Zbl 1173.14019) Full Text: DOI arXiv
Degtyarev, Alex Fundamental groups of symmetric sextics. (English) Zbl 1172.14020 J. Math. Kyoto Univ. 48, No. 4, Article ID 5, p. 765-792 (2008). Reviewer: Caterina Cumino (Torino) MSC: 14H30 14H45 PDFBibTeX XMLCite \textit{A. Degtyarev}, J. Math. Kyoto Univ. 48, No. 4, Article ID 5, p. 765--792 (2008; Zbl 1172.14020) Full Text: DOI arXiv
Degtyarev, Alex Stable symmetries of plane sextics. (English) Zbl 1158.14028 Geom. Dedicata 137, 199-218 (2008). Reviewer: Fernando Torres (Campinas) MSC: 14H45 14H30 PDFBibTeX XMLCite \textit{A. Degtyarev}, Geom. Dedicata 137, 199--218 (2008; Zbl 1158.14028) Full Text: DOI arXiv
Degtyarev, Alex Oka’s conjecture on irreducible plane sextics. (English) Zbl 1158.14026 J. Lond. Math. Soc., II. Ser. 78, No. 2, 329-351 (2008). Reviewer: Jose Ignacio Cogolludo Agustin (Zaragoza) MSC: 14H30 14J28 14Q05 14H10 PDFBibTeX XMLCite \textit{A. Degtyarev}, J. Lond. Math. Soc., II. Ser. 78, No. 2, 329--351 (2008; Zbl 1158.14026) Full Text: DOI arXiv arXiv
Degtyarev, Alex; Ekedahl, Torsten; Itenberg, Ilia; Shapiro, Boris; Shapiro, Michael On total reality of meromorphic functions. (English) Zbl 1131.14059 Ann. Inst. Fourier 57, No. 6, 2015-2030 (2007). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14P05 14J28 14P25 PDFBibTeX XMLCite \textit{A. Degtyarev} et al., Ann. Inst. Fourier 57, No. 6, 2015--2030 (2007; Zbl 1131.14059) Full Text: DOI arXiv Numdam EuDML
Degtyarev, A. I. A divisibility theorem for the Alexander polynomial of a plane algebraic curve. (English. Russian original) Zbl 1075.14025 J. Math. Sci., New York 119, No. 2, 205-210 (2004); translation from Zap. Nauchn. Semin. POMI 280, 146-156 (2001). Reviewer: Edoardo Ballico (Povo) MSC: 14H30 14H50 14H20 14B05 PDFBibTeX XMLCite \textit{A. I. Degtyarev}, J. Math. Sci., New York 119, No. 2, 205--210 (2001; Zbl 1075.14025); translation from Zap. Nauchn. Semin. POMI 280, 146--156 (2001) Full Text: DOI
Degtyarev, A.; Kharlamov, V. Topological properties of real algebraic varieties: Du côté de chez Rokhlin. (English. Russian original) Zbl 1014.14030 Russ. Math. Surv. 55, No. 4, 735-814 (2000); translation from Usp. Mat. Nauk 55, No. 4, 129-212 (2000). MSC: 14P25 57S25 14N10 14J25 PDFBibTeX XMLCite \textit{A. Degtyarev} and \textit{V. Kharlamov}, Russ. Math. Surv. 55, No. 4, 735--814 (2000; Zbl 1014.14030); translation from Usp. Mat. Nauk 55, No. 4, 129--212 (2000) Full Text: DOI arXiv
Degtyarev, A. Quintics in \(\mathbb{C} P^2\) with non-abelian fundamental group. (English. Russian original) Zbl 1002.14010 St. Petersbg. Math. J. 11, No. 5, 809-826 (2000); translation from Algebra Anal. 11, No. 5, 130-151 (2000). Reviewer: Lucian Bădescu (Bucureşti) MSC: 14H50 14F35 14H30 PDFBibTeX XMLCite \textit{A. Degtyarev}, St. Petersbg. Math. J. 11, No. 5, 809--826 (2000; Zbl 1002.14010); translation from Algebra Anal. 11, No. 5, 130--151 (2000)
Degtyarev, A. I.; Zvonilov, V. I. Rigid isotopy classification of real algebraic curves of bidegree \((3,3)\) on quadrics. (English. Russian original) Zbl 0991.14021 Math. Notes 66, No. 6, 670-674 (1999); translation from Mat. Zametki 66, No. 6, 810-815 (1999). MSC: 14P05 14H50 14F35 PDFBibTeX XMLCite \textit{A. I. Degtyarev} and \textit{V. I. Zvonilov}, Math. Notes 66, No. 6, 670--674 (1999; Zbl 0991.14021); translation from Mat. Zametki 66, No. 6, 810--815 (1999) Full Text: DOI
Degtyarev, Alexander Alexander polynomial of a curve of degree six. (English) Zbl 0848.57006 J. Knot Theory Ramifications 3, No. 4, 439-454 (1994). MSC: 57M25 PDFBibTeX XMLCite \textit{A. Degtyarev}, J. Knot Theory Ramifications 3, No. 4, 439--454 (1994; Zbl 0848.57006) Full Text: DOI
Degtyarev, A. I. Classification of quartics having a nonsimple singular point. II. (English) Zbl 0837.14029 Viro, Oleg (ed.), Topology of manifolds and varieties. Transl. ed. by A. B. Sossinsky. Providence, RI: American Mathematical Society. Adv. Sov. Math. 18, 23-54 (1994). Reviewer: M.Roczen (Berlin) MSC: 14J17 14B05 57Q25 14H20 32S25 PDFBibTeX XMLCite \textit{A. I. Degtyarev}, Adv. Sov. Math. 18, 23--54 (1994; Zbl 0837.14029)
Degtyarev, A. I. Classification of quartics having a nonsimple singular point. II. (Russian. English summary) Zbl 0762.14017 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 193, 10-38 (1991). Reviewer: M.Roczen (Berlin) MSC: 14J17 14B05 57Q25 14H20 32S25 PDFBibTeX XMLCite \textit{A. I. Degtyarev}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 193, 10--38 (1991; Zbl 0762.14017) Full Text: EuDML
Degtyarev, A. I. Isotopic classification of complex plane projective curves of degree five. (English. Russian original) Zbl 0725.14025 Leningr. Math. J. 1, No. 4, 881-904 (1990); translation from Algebra Anal. 1, No. 4, 78-101 (1989). Reviewer: E.Stagnaro (Padova) MSC: 14H30 14F35 14H45 PDFBibTeX XMLCite \textit{A. I. Degtyarev}, Leningr. Math. J. 1, No. 4, 881--904 (1990; Zbl 0725.14025); translation from Algebra Anal. 1, No. 4, 78--101 (1989)
Degtyarev, A. I. Classification of surfaces of degree four having a nonsimple singular point. (English. Russian original) Zbl 0722.14019 Math. USSR, Izv. 35, No. 3, 607-627 (1990); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 53, No. 6, 1269-1290 (1989). Reviewer: M.Roczen (Berlin) MSC: 14J17 14H20 14E15 14J25 14B05 32S25 PDFBibTeX XMLCite \textit{A. I. Degtyarev}, Math. USSR, Izv. 35, No. 3, 607--627 (1990; Zbl 0722.14019); translation from Izv. Akad. Nauk SSSR, Ser. Mat. 53, No. 6, 1269--1290 (1989) Full Text: DOI
Degtyarev, A. I. Topological isotopies of algebraic curves. (English. Russian original) Zbl 0608.14014 Sov. Math., Dokl. 33, 273-276 (1986); translation from Dokl. Akad. Nauk SSSR 286, 1295-1298 (1986). Reviewer: A.Conte MSC: 14F35 14H30 57Q37 PDFBibTeX XMLCite \textit{A. I. Degtyarev}, Sov. Math., Dokl. 33, 273--276 (1986; Zbl 0608.14014); translation from Dokl. Akad. Nauk SSSR 286, 1295--1298 (1986)