88 citations · 416 across the 62 of their papers we have counts for
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Ranks of elliptic curves over Z_p^2-extensions
Antonio Lei, Florian Sprung
Let be an elliptic curve with good reduction at a fixed odd prime and an imaginary quadratic field where splits. We give a growth estimate for the Mordell-Weil rank…
Rank--two Euler systems for symmetric squares
Kâzım Büyükboduk, Antonio Lei
Let be a prime number and a normalized eigen-newform with good reduction at such that its -th Fourier coefficient vanishes. We construct a rank-two Euler system…
Iwasawa theory for Symmetric Square of non--ordinary eigenforms
Kâzım Büyükboduk, Antonio Lei, Guhan Venkat
Let be a normalized cuspidal eigen-newform of level coprime to with . We formulate both integral signed Iwasawa main conjectures and analytic Iwasawa man conjectu…
On the Mordell-Weil ranks of supersingular abelian varieties in cyclotomic extensions
Antonio Lei, Gautier Ponsinet
Let be a number field unramified at an odd prime and be the -cyclotomic extension of . Let be an abelian variety defined over with good…
Codimension two cycles in Iwasawa theory and elliptic curves with supersingular reduction
Antonio Lei, Bharathwaj Palvannan
A result of Bleher, Chinburg, Greenberg, Kakde, Pappas, Sharifi and Taylor has initiated the topic of higher codimension Iwasawa theory. As a generalization of the classical Iwasaw…
Iwasawa theory for Rankin--Selberg products of -non-ordinary eigenforms
Kazim Büyükboduk, Antonio Lei, David Loeffler +1
Let and be two modular forms which are non-ordinary at . The theory of Beilinson-Flach elements gives rise to four rank-one non-integral Euler systems for the Rankin-Sel…