Kühne, Lukas; Roulleau, Xavier Dynamical systems on some elliptic modular surfaces via operators on line arrangements. arXiv:2402.18207 Preprint, arXiv:2402.18207 [math.AG] (2024). MSC: 14N20 14H50 37D40 BibTeX Cite \textit{L. Kühne} and \textit{X. Roulleau}, ``Dynamical systems on some elliptic modular surfaces via operators on line arrangements'', Preprint, arXiv:2402.18207 [math.AG] (2024) Full Text: arXiv OA License
Roulleau, Xavier On the dynamics of the line operator \(\Lambda_{\{2\},\{3\}}\) on some arrangements of six lines. (English) Zbl 1524.14118 Eur. J. Math. 9, No. 4, Paper No. 105, 22 p. (2023). Reviewer: Piotr Pokora (Kraków) MSC: 14N20 14H50 37D40 PDFBibTeX XMLCite \textit{X. Roulleau}, Eur. J. Math. 9, No. 4, Paper No. 105, 22 p. (2023; Zbl 1524.14118) Full Text: DOI arXiv
Özdemir, Zehra Magnetic trajectories on lightlike surfaces. (English) Zbl 1519.37026 Differ. Equ. Dyn. Syst. 31, No. 2, 269-281 (2023). Reviewer: Alexey O. Remizov (Moskva) MSC: 37C10 53A04 14H45 14H50 PDFBibTeX XMLCite \textit{Z. Özdemir}, Differ. Equ. Dyn. Syst. 31, No. 2, 269--281 (2023; Zbl 1519.37026) Full Text: DOI
Bravo, J. L.; Mardesic, P.; Novikov, D.; Pontigo-Herrera, J. Infinitesimal and tangential 16-th Hilbert problem on zero-cycles. arXiv:2312.03081 Preprint, arXiv:2312.03081 [math.DS] (2023). MSC: 34C08 37G15 14N10 14H50 BibTeX Cite \textit{J. L. Bravo} et al., ``Infinitesimal and tangential 16-th Hilbert problem on zero-cycles'', Preprint, arXiv:2312.03081 [math.DS] (2023) Full Text: arXiv OA License
Catanese, Fabrizio; Sernesi, Edoardo Geometric Endomorphisms of the Hesse moduli space of elliptic curves. arXiv:2309.00113 Preprint, arXiv:2309.00113 [math.AG] (2023). MSC: 14H52 14H50 14H10 37F10 BibTeX Cite \textit{F. Catanese} and \textit{E. Sernesi}, ``Geometric Endomorphisms of the Hesse moduli space of elliptic curves'', Preprint, arXiv:2309.00113 [math.AG] (2023) Full Text: arXiv OA License
Roulleau, Xavier On some operators acting on line arrangements and their dynamics. arXiv:2306.01053 Preprint, arXiv:2306.01053 [math.AG] (2023). MSC: 14N20 14H50 37D40 BibTeX Cite \textit{X. Roulleau}, ``On some operators acting on line arrangements and their dynamics'', Preprint, arXiv:2306.01053 [math.AG] (2023) Full Text: arXiv OA License
Glutsyuk, Alexey On rationally integrable planar dual multibilliards and piecewise smooth projective billiards. arXiv:2301.00464 Preprint, arXiv:2301.00464 [math.DS] (2023). MSC: 37J30 37E40 14H50 BibTeX Cite \textit{A. Glutsyuk}, ``On rationally integrable planar dual multibilliards and piecewise smooth projective billiards'', Preprint, arXiv:2301.00464 [math.DS] (2023) Full Text: arXiv OA License
Abenda, Simonetta; Grinevich, Petr G. Real regular KP divisors on \({\texttt{M}}\)-curves and totally non-negative Grassmannians. (English) Zbl 1510.37103 Lett. Math. Phys. 112, No. 6, Paper No. 115, 64 p. (2022). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K10 37K20 37K25 37K40 14H50 14H70 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Lett. Math. Phys. 112, No. 6, Paper No. 115, 64 p. (2022; Zbl 1510.37103) Full Text: DOI arXiv
Albach, Bernhard; Geiges, Hansjörg Surfaces of Section for Seifert fibrations. (English) Zbl 1496.57029 Arnold Math. J. 7, No. 4, 573-597 (2021). Reviewer: Jesus A. Álvarez López (Santiago de Compostela) MSC: 57R30 14H50 30F99 37J39 57M12 PDFBibTeX XMLCite \textit{B. Albach} and \textit{H. Geiges}, Arnold Math. J. 7, No. 4, 573--597 (2021; Zbl 1496.57029) Full Text: DOI arXiv
Kodama, Yuji; Xie, Yuancheng Space curves and solitons of the KP hierarchy. I: The \(l\)-th generalized KdV hierarchy. (English) Zbl 1468.37052 SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 024, 43 p. (2021). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K30 37K40 37K10 14H70 14H50 PDFBibTeX XMLCite \textit{Y. Kodama} and \textit{Y. Xie}, SIGMA, Symmetry Integrability Geom. Methods Appl. 17, Paper 024, 43 p. (2021; Zbl 1468.37052) Full Text: DOI arXiv
Glutsyuk, Alexey On rationally integrable planar dual and projective billiards. arXiv:2112.07056 Preprint, arXiv:2112.07056 [math.DS] (2021). MSC: 37J30 37E40 14H50 BibTeX Cite \textit{A. Glutsyuk}, ``On rationally integrable planar dual and projective billiards'', Preprint, arXiv:2112.07056 [math.DS] (2021) Full Text: arXiv OA License
Glutsyuk, A. A.; Netay, I. V. On spectral curves and complexified boundaries of the phase-lock areas in a model of Josephson junction. (English) Zbl 1456.34083 J. Dyn. Control Syst. 26, No. 4, 785-820 (2020). Reviewer: Bertin Zinsou (Johannesburg) MSC: 34M35 14H50 37E45 74K30 PDFBibTeX XMLCite \textit{A. A. Glutsyuk} and \textit{I. V. Netay}, J. Dyn. Control Syst. 26, No. 4, 785--820 (2020; Zbl 1456.34083) Full Text: DOI arXiv
Abenda, Simonetta On some properties of KP-II soliton divisors in \(Gr^{\mathrm{TP}} (2,4)\). (English) Zbl 1418.37116 Ric. Mat. 68, No. 1, 75-90 (2019). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K20 37K15 37K40 14H50 14H70 PDFBibTeX XMLCite \textit{S. Abenda}, Ric. Mat. 68, No. 1, 75--90 (2019; Zbl 1418.37116) Full Text: DOI
Abenda, Simonetta; Grinevich, Petr G. Reducible \(M\)-curves for Le-networks in the totally-nonnegative Grassmannian and KP-II multiline solitons. (English) Zbl 1426.37052 Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019). Reviewer: Lalit Mohan Upadhyaya (Mussoorie) MSC: 37K20 37K40 14H50 14H70 35C08 35Q51 14M15 51M35 55S45 37K10 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Sel. Math., New Ser. 25, No. 3, Paper No. 43, 64 p. (2019; Zbl 1426.37052) Full Text: DOI arXiv
Sheinman, O. K. Integrable systems of algebraic origin and separation of variables. (English. Russian original) Zbl 1420.14076 Funct. Anal. Appl. 52, No. 4, 316-320 (2018); translation from Funkts. Anal. Prilozh. 52, No. 4, 94-98 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H70 14H50 37J35 PDFBibTeX XMLCite \textit{O. K. Sheinman}, Funct. Anal. Appl. 52, No. 4, 316--320 (2018; Zbl 1420.14076); translation from Funkts. Anal. Prilozh. 52, No. 4, 94--98 (2018) Full Text: DOI arXiv
Abenda, Simonetta; Grinevich, Petr G. Rational degenerations of \({\mathtt M}\)-curves, totally positive Grassmannians and KP2-solitons. (English) Zbl 1400.14094 Commun. Math. Phys. 361, No. 3, 1029-1081 (2018). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H81 14H70 37K10 37K40 37K20 14H50 14M15 PDFBibTeX XMLCite \textit{S. Abenda} and \textit{P. G. Grinevich}, Commun. Math. Phys. 361, No. 3, 1029--1081 (2018; Zbl 1400.14094) Full Text: DOI arXiv
Li, Zhu Algebro-geometric solutions of the Harry Dym hierarchy. (English) Zbl 1401.37076 Int. J. Nonlinear Sci. Numer. Simul. 18, No. 2, 129-136 (2017). MSC: 37K10 14H70 14H42 14H50 35Q53 37K20 PDFBibTeX XMLCite \textit{Z. Li}, Int. J. Nonlinear Sci. Numer. Simul. 18, No. 2, 129--136 (2017; Zbl 1401.37076) Full Text: DOI
Ayano, T.; Buchstaber, V. M. The field of meromorphic functions on a sigma divisor of a hyperelliptic curve of genus 3 and applications. (English. Russian original) Zbl 1387.32006 Funct. Anal. Appl. 51, No. 3, 162-176 (2017); translation from Funkts. Anal. Prilozh. 51, No. 3, 4-21 (2017). MSC: 32A20 14H50 37F10 PDFBibTeX XMLCite \textit{T. Ayano} and \textit{V. M. Buchstaber}, Funct. Anal. Appl. 51, No. 3, 162--176 (2017; Zbl 1387.32006); translation from Funkts. Anal. Prilozh. 51, No. 3, 4--21 (2017) Full Text: DOI arXiv
Li, Jibin The existence of \(n\)-order algebraic curve solutions of planar quadratic polynomial systems. (English) Zbl 1389.34122 J. Shanghai Norm. Univ., Nat. Sci. 46, No. 3, 439-441 (2017). MSC: 34C25 14H50 37K10 14H70 PDFBibTeX XMLCite \textit{J. Li}, J. Shanghai Norm. Univ., Nat. Sci. 46, No. 3, 439--441 (2017; Zbl 1389.34122) Full Text: DOI
Bukhshtaber, V. M.; Mikhaĭlov, A. V. Infinite-dimensional Lie algebras determined by the space of symmetric squares of hyperelliptic curves. (English. Russian original) Zbl 1425.17031 Funct. Anal. Appl. 51, No. 1, 2-21 (2017); translation from Funkts. Anal. Prilozh. 51, No. 1, 4-27 (2017). MSC: 17B66 17B80 14H10 14H50 37K30 PDFBibTeX XMLCite \textit{V. M. Bukhshtaber} and \textit{A. V. Mikhaĭlov}, Funct. Anal. Appl. 51, No. 1, 2--21 (2017; Zbl 1425.17031); translation from Funkts. Anal. Prilozh. 51, No. 1, 4--27 (2017) Full Text: DOI Link
Abenda, Simonetta On a family of KP multi-line solitons associated to rational degenerations of real hyperelliptic curves and to the finite non-periodic Toda hierarchy. (English) Zbl 1369.37075 J. Geom. Phys. 119, 112-138 (2017). Reviewer: Ahmed Lesfari (El Jadida) MSC: 37K40 37K20 14H50 14H70 37K10 PDFBibTeX XMLCite \textit{S. Abenda}, J. Geom. Phys. 119, 112--138 (2017; Zbl 1369.37075) Full Text: DOI arXiv
Gao, Yan Preperiodic dynatomic curves for \(z\mapsto z^d+c\). (English) Zbl 1375.37133 Fundam. Math. 233, No. 1, 37-69 (2016). MSC: 37F45 12F10 14H50 37F10 37P05 PDFBibTeX XMLCite \textit{Y. Gao}, Fundam. Math. 233, No. 1, 37--69 (2016; Zbl 1375.37133) Full Text: DOI
Garcia, Ronaldo A. Centers of inscribed circles in triangular orbits of an elliptic billiard. arXiv:1607.00179 Preprint, arXiv:1607.00179 [math.MG] (2016). MSC: 51M04 37D50 53A15 14H50 14E05 BibTeX Cite \textit{R. A. Garcia}, ``Centers of inscribed circles in triangular orbits of an elliptic billiard'', Preprint, arXiv:1607.00179 [math.MG] (2016) Full Text: arXiv OA License
Abenda, Simonetta On KP multi-soliton solutions associated to rational degenerations of real hyperelliptic curves. (English) Zbl 1379.37127 “Bruno Pini” Mathematical Analysis Seminar 2015. Papers from the seminar, University of Bologna, Bologna, Italy, 2015. Bologna: Università di Bologna, Alma Mater Studiorum. 138-157 (2015). MSC: 37K40 37K20 14H50 14H70 37K10 PDFBibTeX XMLCite \textit{S. Abenda}, in: ``Bruno Pini'' Mathematical Analysis Seminar 2015. Papers from the seminar, University of Bologna, Bologna, Italy, 2015. Bologna: Università di Bologna, Alma Mater Studiorum. 138--157 (2015; Zbl 1379.37127)
Romaskevich, Olga On the incenters of triangular orbits on elliptic billiards. (English) Zbl 1371.37073 Enseign. Math. (2) 60, No. 3-4, 247-255 (2014). MSC: 37D50 14H50 37C55 37C27 PDFBibTeX XMLCite \textit{O. Romaskevich}, Enseign. Math. (2) 60, No. 3--4, 247--255 (2014; Zbl 1371.37073) Full Text: DOI arXiv
Gao, Yan; Ou, Yafei The dynatomic periodic curves for polynomial \(z\mapsto z^d+c\) are smooth and irreducible. (English) Zbl 1336.37040 Sci. China, Math. 57, No. 6, 1175-1192 (2014). MSC: 37F45 14H50 37F10 PDFBibTeX XMLCite \textit{Y. Gao} and \textit{Y. Ou}, Sci. China, Math. 57, No. 6, 1175--1192 (2014; Zbl 1336.37040) Full Text: DOI
Gage, Dustin; Jackson, Daniel Computer generated images for quadratic rational maps with a periodic critical point. (English) Zbl 1240.37061 Acta Math. Acad. Paedagog. Nyházi. (N.S.) 27, No. 1, 77-88 (2011). MSC: 37F45 37F10 14H50 PDFBibTeX XMLCite \textit{D. Gage} and \textit{D. Jackson}, Acta Math. Acad. Paedagog. Nyházi. (N.S.) 27, No. 1, 77--88 (2011; Zbl 1240.37061) Full Text: arXiv EMIS
Konopelchenko, B. G.; Ortenzi, G. Hamiltonian motions of plane curves and formation of singularities and bubbles. (English) Zbl 1195.37039 J. Phys. A, Math. Theor. 43, No. 19, Article ID 195204, 18 p. (2010). Reviewer: Vladimir Răsvan (Craiova) MSC: 37K05 14H50 14H70 37K10 76M40 76T10 PDFBibTeX XMLCite \textit{B. G. Konopelchenko} and \textit{G. Ortenzi}, J. Phys. A, Math. Theor. 43, No. 19, Article ID 195204, 18 p. (2010; Zbl 1195.37039) Full Text: DOI arXiv
Ballico, Edoardo ACM and Buchsbaum space curves and Pfaff system on \(\mathbb{P}^3\). (English) Zbl 1185.32023 Int. J. Pure Appl. Math. 52, No. 1, 37-41 (2009). Reviewer: Filippo Bracci (Roma) MSC: 32S65 37F75 14H50 PDFBibTeX XMLCite \textit{E. Ballico}, Int. J. Pure Appl. Math. 52, No. 1, 37--41 (2009; Zbl 1185.32023)
Csikós, Balázs On the rigidity of regular bicycle \((n,k)\)-gons. (English) Zbl 1191.52001 Contrib. Discrete Math. 2, No. 1, 93-106 (2007). Reviewer: Vladislav Nikolaevich Dumachev (Voronezh) MSC: 52A10 37J99 37E45 52C25 14Q05 70C20 14H50 PDFBibTeX XMLCite \textit{B. Csikós}, Contrib. Discrete Math. 2, No. 1, 93--106 (2007; Zbl 1191.52001) Full Text: Link
Christopher, Colin; Llibre, Jaume; Pantazi, Chara; Walcher, Sebastian Inverse problems for multiple invariant curves. (English) Zbl 1144.34003 Proc. R. Soc. Edinb., Sect. A, Math. 137, No. 6, 1197-1226 (2007). Reviewer: Abdelkader Boucherif (Dhahran) MSC: 34A55 34C99 37C10 14H50 34A05 PDFBibTeX XMLCite \textit{C. Christopher} et al., Proc. R. Soc. Edinb., Sect. A, Math. 137, No. 6, 1197--1226 (2007; Zbl 1144.34003) Full Text: DOI
Žubrinić, Darko; Županović, Vesna Fractal analysis of spiral trajectories of some vector fields in \(\mathbb R^3\). (English) Zbl 1096.37010 C. R., Math., Acad. Sci. Paris 342, No. 12, 959-963 (2006). MSC: 37C45 28A75 14H50 37C10 PDFBibTeX XMLCite \textit{D. Žubrinić} and \textit{V. Županović}, C. R., Math., Acad. Sci. Paris 342, No. 12, 959--963 (2006; Zbl 1096.37010) Full Text: DOI
Mansfield, Elizabeth L.; van der Kamp, Peter H. Evolution of curvature invariants and lifting integrability. (English) Zbl 1099.53012 J. Geom. Phys. 56, No. 8, 1294-1325 (2006). MSC: 53A55 70G65 37K10 37K25 14H50 PDFBibTeX XMLCite \textit{E. L. Mansfield} and \textit{P. H. van der Kamp}, J. Geom. Phys. 56, No. 8, 1294--1325 (2006; Zbl 1099.53012) Full Text: DOI
Žubrinić, Darko; Županović, Vesna Fractal analysis of spiral trajectories of some planar vector fields. (English) Zbl 1076.37015 Bull. Sci. Math. 129, No. 6, 457-485 (2005). Reviewer: Nicolae-Adrian Secelean (Sibiu) MSC: 37C45 14H50 28A75 34C23 28A80 PDFBibTeX XMLCite \textit{D. Žubrinić} and \textit{V. Županović}, Bull. Sci. Math. 129, No. 6, 457--485 (2005; Zbl 1076.37015) Full Text: DOI
Pushkar’, P. E.; Chekanov, Yu. V. Combinatorics of fronts of Legendrian links, and Arnol’d’s 4-conjectures. (English. Russian original) Zbl 1085.57008 Russ. Math. Surv. 60, No. 1, 95-149 (2005); translation from Usp. Mat. Nauk 60, No. 1, 99-154 (2005). Reviewer: Dorin Andrica (Cluj-Napoca) MSC: 57M25 57R70 34C23 37G10 57R17 58K05 58K10 57M27 53D10 14H50 PDFBibTeX XMLCite \textit{P. E. Pushkar'} and \textit{Yu. V. Chekanov}, Russ. Math. Surv. 60, No. 1, 95--149 (2005; Zbl 1085.57008); translation from Usp. Mat. Nauk 60, No. 1, 99--154 (2005) Full Text: DOI
Esteves, Eduardo; Kleiman, Steven L. Bounds on leaves of foliations of the plane. (English) Zbl 1065.37035 Gaffney, Terence (ed.) et al., Real and complex singularities. Proceedings of the 7th international workshop, Universidade de São Paulo, São Carlos, Brazil, July 29–August 2, 2002. Providence, RI: American Mathematical Society (AMS) (ISBN 0-8218-3665-X/pbk). Contemporary Mathematics 354, 57-67 (2004). MSC: 37F75 14H50 32S65 14H20 PDFBibTeX XMLCite \textit{E. Esteves} and \textit{S. L. Kleiman}, Contemp. Math. 354, 57--67 (2004; Zbl 1065.37035) Full Text: arXiv
Esteves, E.; Kleiman, S. Bounds on leaves of one-dimensional foliations. (English) Zbl 1048.37049 Bull. Braz. Math. Soc. (N.S.) 34, No. 1, 145-169 (2003). Reviewer: Carlos Galindo (Castellon) MSC: 37F75 14H50 32S65 PDFBibTeX XMLCite \textit{E. Esteves} and \textit{S. Kleiman}, Bull. Braz. Math. Soc. (N.S.) 34, No. 1, 145--169 (2003; Zbl 1048.37049) Full Text: DOI arXiv
Brunella, Marco Courbes entières dans les surfaces algébriques complexes. (Entire curves in complex algebraic surfaces). (French) Zbl 1031.14014 Séminaire Bourbaki. Volume 2000/2001. Exposés 880-893. Paris: Société Mathématique de France. Astérisque. 282, 39-61, Exp. No. 881 (2002). Reviewer: Werner Kleinert (Berlin) MSC: 14H50 14J29 37F75 32Q45 PDFBibTeX XMLCite \textit{M. Brunella}, in: Séminaire Bourbaki. Volume 2000/2001. Exposés 880--893. Paris: Société Mathématique de France. 39--61, Exp. No. 881 (2002; Zbl 1031.14014) Full Text: Numdam EuDML
Garay, Mauricio D. On vanishing inflection points of plane curves. (English) Zbl 1116.14301 Ann. Inst. Fourier 52, No. 3, 849-880 (2002). MSC: 14B10 58K50 14N05 32S05 14B07 14H50 37G05 58K40 PDFBibTeX XMLCite \textit{M. D. Garay}, Ann. Inst. Fourier 52, No. 3, 849--880 (2002; Zbl 1116.14301) Full Text: DOI Numdam Numdam EuDML
Fujimura, Masayo; Nishizawa, Kiyoko Bifurcations and algebraic curves for quadratic rational functions \(\{ mf(x)\}_m\). (English) Zbl 0957.37035 Dyn. Contin. Discrete Impulsive Syst. 4, No. 1, 31-45 (1998). Reviewer: Messoud Efendiev (Berlin) MSC: 37E05 32G13 14D20 14H50 37G15 PDFBibTeX XMLCite \textit{M. Fujimura} and \textit{K. Nishizawa}, Dyn. Contin. Discrete Impulsive Syst. 4, No. 1, 31--45 (1998; Zbl 0957.37035)