Shinichi KOBAYASHI
Associate Professor
Mathematical Institute,   Tohoku University
Sendai, Japan 980-8578
E-mail: shinichi "at" math.tohoku.ac.jp


Course     CV     Links
Publications
The p-adic Gross-Zagier formula for elliptic curves at supersingular primes,
To appear in Inventiones mathematicae.
On the de Rham and p-adic realizations of the elliptic polylogarithm for CM elliptic curves
joint work with Kenichi BANNAI and Takeshi Tsuji.
Annales scientifiques de l'ENS 43, fascicule 2 (2010), 185-234.
Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers
joint work with Kenichi BANNAI.
Duke Math. J. 153 no. 2 (2010), 229-295.
Realizations of the elliptic polylogarithm for CM elliptic curves.
joint work with Kenichi BANNAI and Takeshi Tsuji.
Algebraic number theory and related topics 2007, 33-50, RIMS Kokyuroku Bessatsu, B12, RIMS, Kyoto, 2009.
Algebraic theta functions and Eisenstein-Kronecker numbers.
joint work with Kenichi BANNAI.
Algebraic number theory and related topics, 63-77, RIMS Kokyuroku Bessatsu, B4, RIMS, Kyoto, 2007.
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
Iwasawa theory for modular forms at supersingular primes,
RIMS KOKYUROKU 1324 (2003), 58-66 (Japanese). pdf
Iwasawa theory for elliptic curves at supersingular primes,
Inventiones mathematicae 152 (2003) 1, 1-36. pdf
The local root number of elliptic curves with wild ramification,
Mathematische Annalen 323 (2002) no.3, 609-623. pdf
Preprints
The Kronecker limit formulas via the distribution relation
joint work with Kenichi BANNAI arXiv:0807.4008v1
Integral structures on p-adic Fourier theory
joint work with Kenichi BANNAI arXiv:0804.4338v2
p-adic Eisenstein-Kronecker functions and the elliptic polylogarithm for CM elliptic curves
joint work with Kenichi BANNAI and Hidekazu FURUSHO arXiv:0711.1701v1