On the anticyclotomic Iwasawa theory of rational elliptic curves at Eisenstein primes
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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
An Equivariant Main Conjecture in Iwasawa theory without the assumption μ = 0
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DOI: 10.1016/j.jnt.2016.07.017
Abstract: Abstract The Equivariant Main Conjecture (EMC) in Iwasawa theory has been formulated and proved by Ritter–Weiss [14] and differently – but equivalently – by Greither–Popescu [4] for odd primes under the assumption μ = 0… read more here.
Keywords: assumption; conjecture; main conjecture; iwasawa theory ... See more keywords
Iwasawa Theory: A Climb up the Tower
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DOI: 10.1090/noti1759
Abstract: Iwasawa theory is an area of number theory that emerged from the foundational work of Kenkichi Iwasawa in the late 1950s and onward. It studies the growth of arithmetic objects, such as class groups, in… read more here.
Keywords: theory; theory climb; geometry; iwasawa theory ... See more keywords
Kolyvagin systems and Iwasawa theory of generalized Heegner cycles
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DOI: 10.1215/21562261-2019-0005
Abstract: Iwasawa theory of Heegner points on abelian varieties of GL_2 type has been studied by, among others, Mazur, Perrin-Riou, Bertolini and Howard. The purpose of this paper is to describe extensions of some of their… read more here.
Keywords: theory generalized; kolyvagin systems; generalized heegner; systems iwasawa ... See more keywords