Articles with "rational elliptic" as a keyword



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On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes

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Published in 2021 at "Inventiones mathematicae"

DOI: 10.1007/s00222-021-01072-y

Abstract: 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… read more here.

Keywords: anticyclotomic iwasawa; eisenstein primes; rational elliptic; theory rational ... See more keywords
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Linear systems on rational elliptic surfaces and elliptic fibrations on K3 surfaces

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Published in 2019 at "Journal of Pure and Applied Algebra"

DOI: 10.1016/j.jpaa.2018.03.010

Abstract: We consider K3 surfaces which are double cover of rational elliptic surfaces. The former are endowed with a natural elliptic fibration, which is induced by the latter. There are also other elliptic fibrations on such… read more here.

Keywords: elliptic fibrations; systems rational; linear systems; rational elliptic ... See more keywords