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4 paper(s) uploaded by xinwan1985.

Index	Title	Upload Time	Modified Time
1	IWASAWA Main Conjecture for Supersingular Elliptic curves Xin Wan Morningside Center of Mathematics, Chinese Acadey of Sciences Number Theory mathscidoc:1703.24004 [ Download ] [ 2017-03-09 14:31:50 uploaded by xinwan1985 ] [ 1643 downloads ] [ 0 comments ] Abstract × In this paper we prove the \pm-main conjecture formulated by Kobayashi for elliptic curves with supersingular reduction at p such that a_p = 0. We also prove as a corollary the p-part of the BSD formula at supersingular primes when the analytic rank is 0. OK [ Abstract ] [ Full ] Please log in for comment!	2017-03-09 14:31:50	2017-03-09 16:57:03
2	The Birch and Swinnerton-Dyer Formula for Elliptic Curves of Analytic Rank One Dimitar Jetchev EPFL, Switzerland Christopher Skinner Princeton University, USA Xin Wan Morningside Center of Mathematics, AMSS, Chinese Academy of Science, China Number Theory mathscidoc:1703.24005 Best Paper Award in Mathematics in 2018 Cambridge Journal of Mathematics, 5, (3), 369-434, 2017 [ Download ] [ 2017-03-09 16:55:34 uploaded by xinwan1985 ] [ 1125 downloads ] [ 0 comments ] Abstract × For an odd prime p, we prove the p-part of the Birch and Swinnerton-Dyer formula for semistable elliptic curves of analytic rank one. OK [ Abstract ] [ Full ] Please log in for comment!	2017-03-09 16:55:34	2018-03-20 20:43:20
3	Iwasawa Main Conjecture for Rankin-Selberg p-adic L-functions Xin Wan Morningside Center of Mathematics, AMSS, Chinese Academy of Science Number Theory mathscidoc:1703.24006 to appear in Algebra and Number Theory [ Download ] [ 2017-03-09 17:05:13 uploaded by xinwan1985 ] [ 1779 downloads ] [ 0 comments ] Abstract × In this paper we prove the Iwasawa main conjecture for the Rankin-Selberg product of a general modular form and a CM form of higher weight. This result has been used by others to prove the converse of the theorem of Gross-Zagier and Kolyvagin, and the BSD formula for elliptic curves of analytic rank one. OK [ Abstract ] [ Full ] Please log in for comment!	2017-03-09 17:05:13	2020-02-21 14:12:43
4	Iwasawa Main Conjecture for Non-ordinary Modular Forms Xin Wan Morningside Center of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Science Number Theory mathscidoc:1703.24010 [ Download ] [ 2017-03-13 18:53:35 uploaded by xinwan1985 ] [ 1736 downloads ] [ 0 comments ] Abstract × Under mild assumptions, we prove the Iwasawa main conjecture for a cuspidal eigenform at a good prime p. OK [ Abstract ] [ Full ] Please log in for comment!	2017-03-13 18:53:35	-

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