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math.NT2004★ 13 cited
Iwasawa theory for elliptic curves at supersingular primes over Z_p-extensions of number fields
Adrian Iovita, Robert Pollack
In this paper, we make a study of the Iwasawa theory of an elliptic curve at a supersingular prime p along an arbitrary Z_p-extension of a number field K in the case when p splits…
math.NT2002
p-adic height pairings on abelian varieties with semistable ordinary reduction
Adrian Iovita, Annette Werner
We prove that for abelian varieties with semistable ordinary reduction the p-adic Mazur-Tate height pairing is induced by the unit root splitting of the Hodge filtration on the fir…
math.NT2001
Derivatives of p-adic L-functions, Heegner cycles and monodromy modules attached to modular forms
A. Iovita, M. Spiess
In this paper we prove a Gross-Zagier type formula for the anticyclotomic p-adic L-function of an elliptic modular form f of higher weight and of multiplicative type at p. For such…