Zobrazeno 1 - 10 of 17 pro vyhledávání: '"Francesc Castella"'
1
$$p^\infty $$-Selmer groups and rational points on CM elliptic curves
Autor: Ashay Burungale, Francesc Castella, Christopher Skinner, Ye Tian
Publikováno v: Annales mathématiques du Québec. 46:325-346
R\'esum\'eLet$$E/{\mathbb {Q}}$$E/Qbe a CM elliptic curve andpa prime of good ordinary reduction forE. We show that if$$\text {Sel}_{p^\infty }(E/{\mathbb {Q}})$$Selp∞(E/Q)has$${\mathbb {Z}}_p$$Zp-corank one, then$$E({\mathbb {Q}})$$E(Q)has a point
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::908af5fcc50d0dddfd1bc9b2675475b2
https://doi.org/10.1007/s40316-022-00203-y
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3
Class groups and local indecomposability for non-CM forms
Autor: Carl Wang-Erickson, Haruzo Hida, Francesc Castella
Publikováno v: Journal of the European Mathematical Society
In the late 1990's, R. Coleman and R. Greenberg (independently) asked for a global property characterizing those $p$-ordinary cuspidal eigenforms whose associated Galois representation becomes decomposable upon restriction to a decomposition group at
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1a43c6bb7f1915b82a544d9abb3b47cc
https://doi.org/10.4171/jems/1107
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4
Iwasawa–Greenberg main conjecture for nonordinary modular forms and Eisenstein congruences on GU(3,1)
Autor: Francesc Castella, Zheng Liu, Xin Wan
Publikováno v: Forum of Mathematics, Sigma. 10
In this paper, we prove one divisibility of the Iwasawa–Greenberg main conjecture for the Rankin–Selberg product of a weight two cusp form and an ordinary complex multiplication form of higher weight, using congruences between Klingen Eisenstein
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::46d8df450d1aa1239e468dec73b37486
https://doi.org/10.1017/fms.2022.95
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5
A proof of Perrin-Riou's Heegner point main conjecture
Autor: Ashay A. Burungale, Chan-Ho Kim, Francesc Castella
Let $E/\mathbf{Q}$ be an elliptic curve of conductor $N$, let $p>3$ be a prime where $E$ has good ordinary reduction, and let $K$ be an imaginary quadratic field satisfying the Heegner hypothesis. In 1987, Perrin-Riou formulated an Iwasawa main conje
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::bda53251953aeeb35e738e8cc24b8715
https://resolver.caltech.edu/CaltechAUTHORS:20211130-203141758
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7
On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes
Autor: Francesc Castella, Christopher Skinner, Giada Grossi, Jae-Hoon Lee
Let $E/\mathbb{Q}$ be an elliptic curve, and $p$ a prime where $E$ has good reduction, and assume that $E$ admits a rational $p$-isogeny. In this paper, we study the anticyclotomic Iwasawa theory of $E$ over an imaginary quadratic field in which $p$
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::efaad1494e79ee57101aadb8dcb16fbd
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8
Variation of anticyclotomic Iwasawa invariants in Hida families
Autor: Chan-Ho Kim, Matteo Longo, Francesc Castella
Publikováno v: Algebra Number Theory 11, no. 10 (2017), 2339-2368
Building on the construction of big Heegner points in the quaternionic setting, and their relation to special values of Rankin-Selberg $L$-functions, we obtain anticyclotomic analogues of the results of Emerton-Pollack-Weston on the variation of Iwas
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c85e3ac6b8ddf430742e086c9ab25234
https://doi.org/10.2140/ant.2017.11.2339
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10
Heegner cycles and p-adic L-functions
Autor: Ming-Lun Hsieh, Francesc Castella
Publikováno v: Mathematische Annalen. 370:567-628
In this paper, we deduce the vanishing of Selmer groups for the Rankin–Selberg convolution of a cusp form with a theta series of higher weight from the nonvanishing of the associated L-value, thus establishing the rank 0 case of the Bloch–Kato co
Externí odkaz: https://explore.openaire.eu/search/publication?articleId=doi_________::b78281f0b08c88f790e9adac889f14ac
https://doi.org/10.1007/s00208-017-1517-3
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