1. |
Shinichi Kobayashi, A p-adic interpolation of generalized Heegner cycles and integral Perrin-Riou twist I, Annales mathematiques du Quebec, 10.1007/s40316-023-00213-4, 47, 73-116, 2023.03. |
2. |
Ashay A. Burungale, Shinichi Kobayashi, Kazuto Ota, Rubin’s conjecture on local units in the anticyclotomic tower at inert primes, Annals of Mathematics, https://doi.org/10.4007/annals.2021.194.3.8, 194, 3, 2021.11, 惰性的素数におけるCM楕円曲線の反円分岩澤理論における基本的はRubin予想を解決した.. |
3. |
太田和椎, 小林真一, 楕円保型形式に対する反円分岩澤主予想, RIMS別冊講究録 B83, 2020.06. |
4. |
Kenichi Bannai; Kei Hagihara; Shinichi Kobayashi; Kazuki Yamada; Shuji Yamamoto; Seidai Yasuda, Category of mixed plectic Hodge structures, Asian Journal of Mathematics, 2020.10. |
5. |
小林真一, 反円分拡大の岩澤理論と一般Heegnerサイクル, RIMS講究録別冊, 2020.07. |
6. |
Kazuto Ota, Shinichi Kobayashi, Anticyclotomic main conjecture for modular forms and integral Perrin-Riou twists, Proceedings of Iwasawa 2017, 2019.12. |
7. |
Kenichi Bannai, Shinichi Kobayashi, Seidai Yasuda, The radius of convergence of the p-adic sigma function., Mathematische Zeitschrift , 286, 1-2, 751-781, 2017.01. |
8. |
小林 真一, The local root number of elliptic curves with wild ramification, Mathematische Annalen, 323, 3, 609-623, 2002.10. |
9. |
小林 真一, Iwasawa theory for elliptic curves at supersingular primes, Inventiones mathematicae, 152, 3, 609-623, 2003.10. |
10. |
小林 真一, An Elementary Proof of the Mazur-Tate-Teitelbaum Conjecture for Elliptic Curves, Documenta mathematica, Extra Volume, John H. Coates' Sixtieth Birthday, 567-575, 2006.10. |
11. |
小林 真一, 坂内健一, Algebraic theta functions and p-adic interpolation of Eisenstein-Kronecker numbers, Duke Mathematical Journal, 153, 2, 229-295, 2010.10. |
12. |
小林 真一, 坂内健一, 辻雄, On the de Rham and p-adic realizations of the elliptic polylogarithm for CM elliptic curves, Annales scientifiques de l'École Normale Supérieure, 43, 2, 185-234, 2010.10. |
13. |
小林 真一, The p-adic Gross-Zagier formula for elliptic curves at supersingular primes, Inventiones mathematicae, 191, 3, 527-629, 2013.04, 階数が1の場合のp進Birch and Swinnerton-Dyer予想に相当するp進Gross-Zagier公式を, 最も困難な場合である超特異素点において証明した. その応用としてBirch and Swinnerton-Dyer予想を,虚数乗法をもち階数1の場合にほぼ解決した。. |
14. |
小林 真一, The p-adic height pairing on abelian varieties at non-ordinary primes, Iwasawa 2012, Springer , 2016.10. |
15. |
小林 真一, 古庄英和, 坂内健一, p-adic Eisenstein-Kronecker series for CM elliptic curves and the Kronecker limit formulas, nagoya mathematical journal, 219, 269-302, 2015.01. |
16. |
小林 真一, 山崎隆雄, Torsion points on Jacobian varieties via Anderson's p-adic Soliton Theory, Asian Journal of mathematics , 20, 2, 323-352, 2016.01. |
17. |
小林 真一, 坂内健一, Integral structures on p-adic Fourier theory, Annales de L'Institut Fourier, 66, 1, 521-550, 2016.01. |