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Shinichi KOBAYASHI Professor, Faculty of Mathematics, Kyushu University 744, Motooka, Nishi-ku, Fukuoka, 819-0395 Japan E-mail: kobayashi "at" math.kyushu-u.ac.jp |
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Publications and preprints |
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The radius of convergence of the p-adic sigma function. To appear in Mathematische Zeitschrift, pdf |
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Torsion points on Jacobian varieties via Anderson's p-adic Soliton Theory, Asian Journal of Mathematics, Vol. 20, No. 2 (2016), pp. 323--352. pdf |
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Integral structures on p-adic Fourier theory Annales de L’institut Fourier, vol.66, no.1, (2016), 521--550. pdf |
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p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas Nagoya math. J. 219 (2015), 269--302. pdf |
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The p-adic height pairing on abelian varieties at non-ordinary primes in Iwasawa Theory 2012, p.265--290, Contributions in Mathematical and Computational Sciences, Vol. 7, Springer. pdf |
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The p-adic Gross-Zagier formula for elliptic curves at supersingular primes Inventiones mathematicae, 191 (2013), 3, 527-629. pdf |
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On the real Hodge and p-adic realizations of the elliptic polylogarithm for CM elliptic curves Annales Scientifiques de l'Ecole normale superieure 43, facicule 2, (2010),185-234. pdf |
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Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers Duke Math. J. 153 no. 2 (2010), 229-295. pdf |
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An Elementary Proof of the Mazur-Tate-Teitelbaum Conjecture for Elliptic Curves Documenta Mathematica, Vol. Extra Volume: John H. Coates' Sixtieth Birthday (2006), 567-575. pdf |
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Iwasawa theory for elliptic curves at supersingular primes, Inventiones mathematicae, 152 (2003) 1, 1-36. pdf |
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The local root number of elliptic curves with wild ramification, Mathematische Annalen, 323 (2002) no.3, 609-623. pdf |