views: 1823
Readers community rating: votes 0
1. B. Mazur, “Rational points of modular curves. Modular Functions of One Variable”, V, Proc. Second Internat. Conf., Univ. Bonn, Bonn, 1976 (eds J.-P. Serre and D. B. Zagier), Lecture Notes in Mathematics, 601 (Springer, Berlin, 1977), 107–148, DOI: https://doi.org/10.1007/BFb0063947.
2. V.P. Platonov, “Teoretiko-chislovye svojstva giperehllipticheskikh polej i problema krucheniya v yakobianakh giperehllipticheskikh krivykh nad polem ratsional'nykh chisel”, Uspekhi matem. nauk, 69:1(415) (2014), 3–38, DOI: https://doi.org/10.4213/rm9563.
3. Everett W. Howe, “Genus-2 Jacobians with torsion points of large order”, Bull. London Math. Soc., 47 (2015), 127–135.
4. V. P. Platonov, M. M. Petrunin, “Novye poryadki tochek krucheniya v yakobianakh krivykh roda 2 nad polem ratsional'nykh chisel”, Dokl. RAN, 443:6 (2012), 664–667.
5. V. P. Platonov, V. S. Zhgun, M. M. Petrunin, “K voprosu o prostote yakobianov kri- vykh roda 2 nad polem ratsional'nykh chisel s tochkami krucheniya bol'shikh poryadkov”, Dokl. RAN, 450:4 (2013), 385–388, DOI: https://doi.org/10.7868/S0869565213160068.
6. V. P. Platonov, M. M. Petrunin, “Novye krivye roda 2 nad polem ratsional'nykh chisel, yakobiany kotorykh soderzhat tochki krucheniya bol'shikh poryadkov”, Dokl. RAN, 461:6 (2015), 638–639, DOI: https://doi.org/10.7868/S0869565215120051.
7. V. P. Platonov, G. V. Fedorov, “O probleme periodichnosti nepreryvnykh drobej v giperehllipticheskikh polyakh”, Matem. sb., 209:4 (2018), 54–94, DOI: https://doi.org/10.4213/sm8998.
8. F. Leprevost, “Famille de courbes de genre 2 munies d?une classe de diviseurs rationnels d?ordre 13”, C. R. Acad. Sci. Paris S?er. I Math., 313 (1991), 451–454.
9. F. Leprevost, “Familles de courbes de genre 2 munies d?une classe de diviseurs rationnels d?ordre 15, 17, 19 ou 21”, C. R. Acad. Sci. Paris S?er. I Math., 313 (1991), 771–774, http://gallica.bnf.fr/ark:/12148/bpt6k57325582/f775.image.
10. F. Leprevost, “Points rationnels de torsion de jacobiennes de certaines courbes de genre 2”, C. R. Acad. Sci. Paris S?er. I Math., 316 (1993), 819–821.
11. E. V. Flynn, “Large rational torsion on abelian varieties”, J. Number Theory, 36 (1990), 257–265.
12. H. Ogawa, “Curves of genus 2 with a rational torsion divisor of order 23”, Proc. Japan Acad. Ser. A Math. Sci., 70 (1994), 295–298, http://projecteuclid.org/euclid.pja/1195510899.
13. J. Igusa, “Arithmetic variety of moduli for genus two”, Ann. of Math., 72 (1960), 612–649.