Aroca, Fuensanta; Camacho-Calderón, Angelito; Gómez-Morales, Mirna Transversal special parabolic points in the graph of a polynomial obtained under Viro’s patchworking. (English) Zbl 1439.14163 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 2, Paper No. 97, 16 p. (2020). MSC: 14P05 14P25 53A05 51M20 PDF BibTeX XML Cite \textit{F. Aroca} et al., Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 114, No. 2, Paper No. 97, 16 p. (2020; Zbl 1439.14163) Full Text: DOI
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 PDF BibTeX XML Cite \textit{E. Brugallé} et al., Eur. J. Math. 5, No. 3, 686--711 (2019; Zbl 1436.14095) Full Text: DOI
Greuel, Gert-Martin; Lossen, Christoph; Shustin, Eugenii 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 PDF BibTeX XML Cite \textit{G.-M. Greuel} et al., Singular algebraic curves. With an appendix by Oleg Viro. Cham: Springer (2018; Zbl 1411.14001) Full Text: DOI
Bertrand, Benoît; Brugallé, Erwan; Renaudineau, Arthur Haas’ theorem revisited. (Théorème de Haas revisité.) (English. French summary) Zbl 1420.14130 Épijournal de Géom. Algébr., EPIGA 1, Article No. 9, 22 p. (2017). MSC: 14P25 14T05 PDF BibTeX XML Cite \textit{B. Bertrand} et al., Épijournal de Géom. Algébr., EPIGA 1, Article No. 9, 22 p. (2017; Zbl 1420.14130) Full Text: Link arXiv
El Hilany, Boulos Characterization of circuits supporting polynomial systems with the maximal number of positive solutions. (English) Zbl 1397.13033 Discrete Comput. Geom. 58, No. 2, 355-370 (2017). MSC: 13P15 14H57 14P25 PDF BibTeX XML Cite \textit{B. El Hilany}, Discrete Comput. Geom. 58, No. 2, 355--370 (2017; Zbl 1397.13033) Full Text: DOI arXiv
Brugallé, Erwan; Itenberg, Ilia; Mikhalkin, Grigory; Shaw, Kristin Brief introduction to tropical geometry. (English) Zbl 1354.14089 Akbulut, Selman (ed.) et al., Proceedings of the 21st Gökova geometry-topology conference, Gökova, Turkey, May 26-30, 2014. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT) (ISBN 978-1-57146-307-4/pbk). 1-75 (2015). MSC: 14T05 14P25 14N10 14N35 PDF BibTeX XML Cite \textit{E. Brugallé} et al., in: Proceedings of the 21st Gökova geometry-topology conference, Gökova, Turkey, May 26-30, 2014. Somerville, MA: International Press; Gökova: Gökova Geometry-Topology Conferences (GGT). 1--75 (2015; Zbl 1354.14089) Full Text: arXiv
Arroyo, Aubin; Brugallé, Erwan; López de Medrano, Lucia On maximally inflected hyperbolic curves. (English) Zbl 1306.14026 Discrete Comput. Geom. 52, No. 1, 140-152 (2014). MSC: 14P05 14Q05 14H45 14T05 PDF BibTeX XML Cite \textit{A. Arroyo} et al., Discrete Comput. Geom. 52, No. 1, 140--152 (2014; Zbl 1306.14026) Full Text: DOI arXiv
Brugallé, Erwan A.; López de Medrano, Lucia M. Inflection points of real and tropical plane curves. (English) Zbl 1292.14042 J. Singul. 4, 74-103 (2012). MSC: 14T05 14P05 PDF BibTeX XML Cite \textit{E. A. Brugallé} and \textit{L. M. López de Medrano}, J. Singul. 4, 74--103 (2012; Zbl 1292.14042) Full Text: DOI
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 PDF BibTeX XML Cite \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 PDF BibTeX XML Cite \textit{I. Itenberg} et al., Tropical algebraic geometry. 2nd ed. Basel: Birkhäuser (2009; Zbl 1165.14002)
Bertrand, Benoît; Brugallé, Erwan A nonalgebraic patchwork. (English) Zbl 1142.14037 Math. Z. 259, No. 3, 481-486 (2008). Reviewer: Jose Manuel Gamboa (Madrid) MSC: 14P25 14J26 14H50 32Q65 PDF BibTeX XML Cite \textit{B. Bertrand} and \textit{E. Brugallé}, Math. Z. 259, No. 3, 481--486 (2008; Zbl 1142.14037) Full Text: DOI
Mikhalkin, Grigory Tropical geometry and its applications. (English) Zbl 1103.14034 Sanz-Solé, Marta (ed.) et al., Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22–30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS) (ISBN 978-3-03719-022-7/hbk). 827-852 (2006). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14P99 14H50 14N10 52B20 PDF BibTeX XML Cite \textit{G. Mikhalkin}, in: Proceedings of the international congress of mathematicians (ICM), Madrid, Spain, August 22--30, 2006. Volume II: Invited lectures. Zürich: European Mathematical Society (EMS). 827--852 (2006; Zbl 1103.14034) Full Text: arXiv
Bertrand, Benoit Asymptotically maximal families of hypersurfaces in toric varieties. (English) Zbl 1103.14033 Geom. Dedicata 118, 49-70 (2006). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14P25 14M25 PDF BibTeX XML Cite \textit{B. Bertrand}, Geom. Dedicata 118, 49--70 (2006; Zbl 1103.14033) 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 PDF BibTeX XML Cite \textit{E. Shustin}, St. Petersbg. Math. J. 17, No. 2, 343--375 (2006; Zbl 1100.14046) Full Text: DOI
Westenberger, Eric Real hypersurfaces with many simple singularities. (English) Zbl 1084.14037 Rev. Mat. Complut. 18, No. 2, 455-464 (2005). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14J17 14P25 14J70 PDF BibTeX XML Cite \textit{E. Westenberger}, Rev. Mat. Complut. 18, No. 2, 455--464 (2005; Zbl 1084.14037) Full Text: DOI EuDML
Speyer, David E. Horn’s problem, Vinnikov curves, and the hive cone. (English) Zbl 1069.14037 Duke Math. J. 127, No. 3, 395-427 (2005). Reviewer: Edoardo Ballico (Povo) MSC: 14H50 14P99 15A42 05E15 14P25 PDF BibTeX XML Cite \textit{D. E. Speyer}, Duke Math. J. 127, No. 3, 395--427 (2005; Zbl 1069.14037) Full Text: DOI arXiv
Shustin, Eugenii; Westenberger, Eric Projective hypersurfaces with many singularities of prescribed types. (English) Zbl 1075.14034 J. Lond. Math. Soc., II. Ser. 70, No. 3, 609-624 (2004). Reviewer: Gerhard Pfister (Kaiserslautern) MSC: 14J17 14H20 14J70 PDF BibTeX XML Cite \textit{E. Shustin} and \textit{E. Westenberger}, J. Lond. Math. Soc., II. Ser. 70, No. 3, 609--624 (2004; Zbl 1075.14034) Full Text: DOI
Itenberg, I. V.; Itenberg, V. S. Symmetric sextics in the real projective plane and auxiliary conics. (English. Russian original) Zbl 1077.14088 J. Math. Sci., New York 119, No. 1, 78-85 (2004); translation from Zap. Nauchn. Semin. POMI 279, 154-167 (2001). Reviewer: Eugenii I. Shustin (Tel Aviv) MSC: 14P25 14H37 PDF BibTeX XML Cite \textit{I. V. Itenberg} and \textit{V. S. Itenberg}, J. Math. Sci., New York 119, No. 1, 78--85 (2001; Zbl 1077.14088); translation from Zap. Nauchn. Semin. POMI 279, 154--167 (2001) Full Text: DOI
Itenberg, Ilia On the number of even ovals of a nonsingular curve of even degree in \(\mathbb{R}\mathbb{P}^2\). (English) Zbl 1002.14011 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), 121-129 (2001). Reviewer: A.Diaz-Cano (Madrid) MSC: 14H50 14N10 14P25 PDF BibTeX XML Cite \textit{I. Itenberg}, Transl., Ser. 2, Am. Math. Soc. 202, 121--129 (2001; Zbl 1002.14011)
Benedetti, Riccardo; Guadagnini, Enore Geometric cone surfaces and \((2+1)\)-gravity coupled to particles. (English) Zbl 1009.83033 Nucl. Phys., B 588, No. 1-2, 436-450 (2000). MSC: 83C80 32G15 57M50 57N16 PDF BibTeX XML Cite \textit{R. Benedetti} and \textit{E. Guadagnini}, Nucl. Phys., B 588, No. 1--2, 436--450 (2000; Zbl 1009.83033) Full Text: DOI
Itenberg, Ilia; Roy, Marie-Françoise Interactions between real algebraic geometry and discrete and computational geometry. (English) Zbl 0954.14040 Chazelle, Bernard (ed.) et al., Advances in discrete and computational geometry. Proceedings of the 1996 AMS-IMS-SIAM joint summer research conference on discrete and computational geometry: ten years later, South Hadley, MA, USA, July 14-18, 1996. Providence, RI: American Mathematical Society. Contemp. Math. 223, 217-236 (1999). Reviewer: Johannes Huisman (Rennes) MSC: 14P10 14P25 68Q25 PDF BibTeX XML Cite \textit{I. Itenberg} and \textit{M.-F. Roy}, Contemp. Math. 223, 217--236 (1999; Zbl 0954.14040)