Habegger, Philipp The number of rational points on a curve of genus at least two. (English) Zbl 07823044 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 3. Sections 1–4. Berlin: European Mathematical Society (EMS). 1838-1869 (2023). MSC: 14G05 11G30 11G50 14G25 14K15 PDFBibTeX XMLCite \textit{P. Habegger}, in: International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6--14, 2022. Volume 3. Sections 1--4. Berlin: European Mathematical Society (EMS). 1838--1869 (2023; Zbl 07823044) Full Text: DOI OA License
Collas, Benjamin; Philip, Séverin On Oda’s problem and special loci. arXiv:2311.15515 Preprint, arXiv:2311.15515 [math.AG] (2023). MSC: 14H30 11G30 14H10 14H25 14G32 BibTeX Cite \textit{B. Collas} and \textit{S. Philip}, ``On Oda's problem and special loci'', Preprint, arXiv:2311.15515 [math.AG] (2023) Full Text: arXiv OA License
Watanabe, Tatsunari Remarks on rational points of universal curves. (English) Zbl 1440.14128 Proc. Am. Math. Soc. 148, No. 9, 3761-3773 (2020). MSC: 14G05 14G27 14H10 14H25 11G30 14G32 14D06 14D20 55R37 14D23 20G05 PDFBibTeX XMLCite \textit{T. Watanabe}, Proc. Am. Math. Soc. 148, No. 9, 3761--3773 (2020; Zbl 1440.14128) Full Text: DOI arXiv
Beshaj, L.; Gutierrez, J.; Shaska, T. Weighted greatest common divisors and weighted heights. (English) Zbl 1440.11114 J. Number Theory 213, 319-346 (2020). MSC: 11G50 14H10 14H45 14G40 PDFBibTeX XMLCite \textit{L. Beshaj} et al., J. Number Theory 213, 319--346 (2020; Zbl 1440.11114) Full Text: DOI arXiv
González-Jiménez, Enrique; Xarles, Xavier On a conjecture of Rudin on squares in arithmetic progressions. (English) Zbl 1314.11059 LMS J. Comput. Math. 17, 58-76 (2014). Reviewer: Sungkon Chang (Savannah) MSC: 11N13 11G30 11B25 11D45 14H25 PDFBibTeX XMLCite \textit{E. González-Jiménez} and \textit{X. Xarles}, LMS J. Comput. Math. 17, 58--76 (2014; Zbl 1314.11059) Full Text: DOI arXiv
Draziotis, Konstantinos A.; Poulakis, Dimitrios An effective version of Chevalley-Weil theorem for projective plane curves. (English) Zbl 1239.14018 Houston J. Math. 38, No. 1, 29-39 (2012). Reviewer: Fernando Torres (Campinas) MSC: 14G25 14H25 11G30 PDFBibTeX XMLCite \textit{K. A. Draziotis} and \textit{D. Poulakis}, Houston J. Math. 38, No. 1, 29--39 (2012; Zbl 1239.14018) Full Text: arXiv Link
Hain, Richard Rational points of universal curves. (English) Zbl 1225.14016 J. Am. Math. Soc. 24, No. 3, 709-769 (2011). Reviewer: Gerd Faltings (Bonn) MSC: 14G05 14G27 14H10 14H25 11G30 14G32 PDFBibTeX XMLCite \textit{R. Hain}, J. Am. Math. Soc. 24, No. 3, 709--769 (2011; Zbl 1225.14016) Full Text: DOI arXiv
Bourqui, David Counting curves on the plane blown up in three collinear points. (Comptage de courbes sur le plan projectif éclaté en trois points alignés.) (French) Zbl 1193.11066 Ann. Inst. Fourier 59, No. 5, 1847-1895 (2009). Reviewer: B. Z. Moroz (Bonn) MSC: 11G50 14J26 14C20 11G35 11G30 14C05 14G25 14G40 PDFBibTeX XMLCite \textit{D. Bourqui}, Ann. Inst. Fourier 59, No. 5, 1847--1895 (2009; Zbl 1193.11066) Full Text: DOI arXiv EuDML
Fan, Xinxin; Gong, Guang; Jao, David Efficient pairing computation on genus 2 curves in projective coordinates. (English) Zbl 1256.94049 Avanzi, Roberto Maria (ed.) et al., Selected areas in cryptography. 15th international workshop, SAC 2008, Sackville, New Brunswick, Canada, August 14–15. Revised selected papers. Berlin: Springer (ISBN 978-3-642-04158-7/pbk). Lecture Notes in Computer Science 5381, 18-34 (2009). MSC: 94A60 11G20 14G50 PDFBibTeX XMLCite \textit{X. Fan} et al., Lect. Notes Comput. Sci. 5381, 18--34 (2009; Zbl 1256.94049) Full Text: DOI
Gasbarri, Carlo Heights of vector bundles and the fundamental group scheme of a curve. (English) Zbl 1026.11057 Duke Math. J. 117, No. 2, 287-311 (2003); erratum ibid. 169, No. 16, 3221-3222 (2020). Reviewer: Amílcar Pacheco (Rio de Janeiro) MSC: 11G50 14G40 14L15 11G35 14H60 11G30 14D20 PDFBibTeX XMLCite \textit{C. Gasbarri}, Duke Math. J. 117, No. 2, 287--311 (2003; Zbl 1026.11057) Full Text: DOI
Rosen, Michael; Wong, Siman The rank of abelian varieties over infinite Galois extensions. (English) Zbl 1001.11025 J. Number Theory 92, No. 1, 182-196 (2002). Reviewer: Michael Stoll (Düsseldorf) MSC: 11G10 14H40 14K15 11G30 14G05 14G25 PDFBibTeX XMLCite \textit{M. Rosen} and \textit{S. Wong}, J. Number Theory 92, No. 1, 182--196 (2002; Zbl 1001.11025) Full Text: DOI
Zapponi, Leonardo Flowers, trees and cells: A Galois invariant for a family of trees. (Fleurs, arbres et cellules: Un invariant galoisien pour une famille d’arbres.) (French) Zbl 0968.14011 Compos. Math. 122, No. 2, 113-133 (2000). Reviewer: Hiroaki Nakamura (Tokyo) MSC: 14H30 14G32 14H25 14D22 14G05 30F30 PDFBibTeX XMLCite \textit{L. Zapponi}, Compos. Math. 122, No. 2, 113--133 (2000; Zbl 0968.14011) Full Text: DOI
Guletskiǐ, V. I.; Yanchevskiǐ, V. I. Reciprocity laws for simple algebras over function fields of number curves. (English) Zbl 0987.14012 Commun. Algebra 28, No. 4, 1657-1683 (2000). Reviewer: B.Kunyavskii (Ramat Gan) MSC: 14F22 11R58 11G35 11G30 14H05 PDFBibTeX XMLCite \textit{V. I. Guletskiǐ} and \textit{V. I. Yanchevskiǐ}, Commun. Algebra 28, No. 4, 1657--1683 (2000; Zbl 0987.14012) Full Text: DOI
Nakamura, Hiroaki; Tamagawa, Akio; Mochizuki, Shinichi The Grothendieck conjecture on the fundamental groups of algebraic curves. (English. Japanese original) Zbl 0943.14014 Sugaku Expo. 14, No. 1, 31-53 (2001); translation from Sūgaku 50, No. 2, 113-129 (1998). Reviewer: Noriko Yui (Kingston) MSC: 14H30 14H25 14F35 14G32 11G20 11G30 PDFBibTeX XML
Chiantini, Luca; Ciliberto, Ciro; Di Gennaro, Vincenzo On the genus of projective curves verifying certain flag conditions. (English) Zbl 0902.14023 Boll. Unione Mat. Ital., VII. Ser., B 10, No. 3, 701-732 (1996). Reviewer: A.Dolcetti (Firenze) MSC: 14H45 14H50 14M15 PDFBibTeX XMLCite \textit{L. Chiantini} et al., Boll. Unione Mat. Ital., VII. Ser., B 10, No. 3, 701--732 (1997; Zbl 0902.14023)
Pandharipande, Rahul The canonical class of \(\overline{M}_{0,n}(\mathbb{P}^r,d)\) and enumerative geometry. (English) Zbl 0898.14010 Int. Math. Res. Not. 1997, No. 4, 173-186 (1997). Reviewer: Jun Li (Stanford) MSC: 14H10 14H25 14D20 14N10 PDFBibTeX XMLCite \textit{R. Pandharipande}, Int. Math. Res. Not. 1997, No. 4, 173--186 (1997; Zbl 0898.14010) Full Text: DOI arXiv
Ciliberto, Ciro Some aspects of the classification of the families of curves in a projective space. (Italian) Zbl 0894.14014 Boll. Unione Mat. Ital., VII. Ser., A 10, No. 3, 491-535 (1996). Reviewer: A.Del Centina (Ferrara) MSC: 14H45 14N05 14H50 14E25 PDFBibTeX XMLCite \textit{C. Ciliberto}, Boll. Unione Mat. Ital., VII. Ser., A 10, No. 3, 491--535 (1996; Zbl 0894.14014)
Liu, Kefeng Geometric height inequalities. (English) Zbl 0867.11044 Math. Res. Lett. 3, No. 5, 693-702 (1996). Reviewer: P.Vojta (Berkeley) MSC: 11G30 14G40 PDFBibTeX XMLCite \textit{K. Liu}, Math. Res. Lett. 3, No. 5, 693--702 (1996; Zbl 0867.11044) Full Text: DOI
Clozel, L.; Venkataramana, T. N. Virtual cohomology of the moduli space of curves in the unstable range. (English) Zbl 0903.11017 Int. Math. Res. Not. 1996, No. 15, 723-732 (1996). Reviewer: Joachim Schwermer (Düsseldorf) MSC: 11F75 11G30 14G40 14H10 PDFBibTeX XMLCite \textit{L. Clozel} and \textit{T. N. Venkataramana}, Int. Math. Res. Not. 1996, No. 15, 723--732 (1996; Zbl 0903.11017) Full Text: DOI
de Diego, Teresa Faltings’ theorem (Mordell’s conjecture) for algebraic families of curves. (Théorème de Faltings (conjecture de Mordell) pour les familles algébriques de courbes.) (French) Zbl 0858.11033 C. R. Acad. Sci., Paris, Sér. I 323, No. 2, 175-178 (1996). Reviewer: P.Vojta (Berkeley) MSC: 11G30 14H10 14G05 14H25 PDFBibTeX XMLCite \textit{T. de Diego}, C. R. Acad. Sci., Paris, Sér. I 323, No. 2, 175--178 (1996; Zbl 0858.11033)
Hartshorne, Robin The genus of space curves. (English) Zbl 0865.14013 Ann. Univ. Ferrara, Nuova Ser., Sez. VII 40, 207-223 (1994). Reviewer: L.Chiantini (Siena) MSC: 14H45 14H50 PDFBibTeX XMLCite \textit{R. Hartshorne}, Ann. Univ. Ferrara, Nuova Ser., Sez. VII 40, 207--223 (1996; Zbl 0865.14013)
Nakamura, Hiroaki Coupling of universal monodromy representations of Galois-Teichmüller modular groups. (English) Zbl 0835.14007 Math. Ann. 304, No. 1, 99-119 (1996). Reviewer: M.Nakamura (Tokyo) MSC: 14H10 14H25 11F55 PDFBibTeX XMLCite \textit{H. Nakamura}, Math. Ann. 304, No. 1, 99--119 (1996; Zbl 0835.14007) Full Text: DOI EuDML
Moreno, Oscar; Zinoviev, Dmitrii; Zinoviev, Victor On several new projective curves over \(F_ 2\) of genus 3, 4, and 5. (English) Zbl 0853.11052 IEEE Trans. Inf. Theory 41, No. 6, Pt. 1, 1643-1648 (1995). Reviewer: E.Von York (Notre Dame) MSC: 11G20 14H45 14H25 PDFBibTeX XMLCite \textit{O. Moreno} et al., IEEE Trans. Inf. Theory 41, No. 6, Part 1, 1643--1648 (1995; Zbl 0853.11052) Full Text: DOI
Aubry, Yves; Perret, Marc Coverings of singular curves over finite fields. (English) Zbl 0862.11042 Manuscr. Math. 88, No. 4, 467-478 (1995). Reviewer: Everett W.Howe (San Diego) MSC: 11G20 14H30 14G15 14H20 11T24 PDFBibTeX XMLCite \textit{Y. Aubry} and \textit{M. Perret}, Manuscr. Math. 88, No. 4, 467--478 (1995; Zbl 0862.11042) Full Text: DOI EuDML
Beorchia, Valentina On the arithmetic genus of locally Cohen-Macaulay space curves. (English) Zbl 0865.14014 Int. J. Math. 6, No. 4, 491-502 (1995). Reviewer: W.O.Vogel (Karlsruhe) MSC: 14H50 14H45 14N05 PDFBibTeX XMLCite \textit{V. Beorchia}, Int. J. Math. 6, No. 4, 491--502 (1995; Zbl 0865.14014) Full Text: DOI
Fried, Michael D. Global construction of general exceptional covers (with motivation for applications to encoding). (English) Zbl 0849.12002 Mullen, Gary L. (ed.) et al., Finite fields: theory, applications and algorithms. 2nd international conference, August 17-21, 1993, Las Vegas, NV, USA. Providence, RI: American Mathematical Society. Contemp. Math. 168, 69-100 (1994). MSC: 12E20 14H30 11G20 11T06 12E25 11G25 12F12 11G35 11R58 14H10 11T71 PDFBibTeX XMLCite \textit{M. D. Fried}, Contemp. Math. 168, 69--100 (1994; Zbl 0849.12002)
Xing, Chao-Ping Multiple Kummer extension and the number of prime divisors of degree one in function fields. (English) Zbl 0776.11068 J. Pure Appl. Algebra 84, No. 1, 85-93 (1993). Reviewer: V.Ennola (Turku) MSC: 11R58 11G20 11T71 14H05 PDFBibTeX XMLCite \textit{C.-P. Xing}, J. Pure Appl. Algebra 84, No. 1, 85--93 (1993; Zbl 0776.11068) Full Text: DOI
Ballico, Edoardo The bound of the genus for reducible curves. (English) Zbl 0692.14016 Rend. Mat. Appl., VII. Ser. 7, No. 2, 177-179 (1987). Reviewer: A.Del Centina MSC: 14H99 14N05 PDFBibTeX XMLCite \textit{E. Ballico}, Rend. Mat. Appl., VII. Ser. 7, No. 2, 177--179 (1987; Zbl 0692.14016)
Ellia, Ph.; Sols, I. On the cohomology of projective curves. (English) Zbl 0656.14011 Space curves, Proc. Conf., Rocca di Papa/Italy 1985, Lect. Notes Math. 1266, 74-83 (1987). Reviewer: R.Piene MSC: 14F25 14N05 14H45 PDFBibTeX XML
Kleppe, Jan O. Non-reduced components of the Hilbert scheme of smooth space curves. (English) Zbl 0631.14022 Space curves, Proc. Conf., Rocca di Papa/Italy 1985, Lect. Notes Math. 1266, 187-207 (1987). Reviewer: C.Ciliberto MSC: 14H10 14C05 14N05 PDFBibTeX XML
Ciliberto, Ciro On the Hilbert scheme of curves of maximal genus in a projective space. (English) Zbl 0595.14004 Math. Z. 194, 351-363 (1987). MSC: 14C05 14H45 14N05 PDFBibTeX XMLCite \textit{C. Ciliberto}, Math. Z. 194, 351--363 (1987; Zbl 0595.14004) Full Text: DOI EuDML
Liu, Qing Analytic open sets of an algebraic curve in rigid geometry. (Ouverts analytiques d’une courbe algébrique en géométrie rigide.) (French) Zbl 0633.14014 \(p\)-adic analysis, Proc. Conf., Houthalen/Belg. 1986, 97-100 (1986). Reviewer: Frank Herrlich (Karlsruhe) MSC: 14G20 14H25 30G06 PDFBibTeX XML
Wohlfahrt, K. Macbeath’s curve and the modular group. (English) Zbl 0585.14021 Glasg. Math. J. 27, 239-247 (1985). Reviewer: M.Sheingorn MSC: 14H30 14H25 11F06 14H45 14H20 20H05 20E07 20B25 PDFBibTeX XMLCite \textit{K. Wohlfahrt}, Glasg. Math. J. 27, 239--247 (1985; Zbl 0585.14021) Full Text: DOI
Ballico, Edoardo; Oliverio, Paolo Nodal curves in \(\mathbb{P}^3(\mathbb{C})\). (English) Zbl 0607.14019 Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 76, 253-259 (1984). MSC: 14H20 14N05 PDFBibTeX XMLCite \textit{E. Ballico} and \textit{P. Oliverio}, Atti Accad. Naz. Lincei, VIII. Ser., Rend., Cl. Sci. Fis. Mat. Nat. 76, 253--259 (1984; Zbl 0607.14019)
Simis, Aron A note on the Koszul homology of ordinary singularities. (English) Zbl 0417.14023 Bol. Soc. Bras. Mat. 8, 149-159 (1977). MSC: 14H20 13D03 13H99 13A15 14H45 14A05 PDFBibTeX XMLCite \textit{A. Simis}, Bol. Soc. Bras. Mat. 8, 149--159 (1977; Zbl 0417.14023) Full Text: DOI