Browsing by Author "Lei, Antonio"
Now showing items 1-5 of 5
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Congruences modulo ρ between ρ-wisted Hasse-Weil L-values
(American Mathematical Society, 2018)Suppose E₁ and E₂ are semistable elliptic curves over Q with good reduction at p, whose associated weight two newforms f₁ and f₂ have congruent Fourier coefficients modulo p. Let RS(E*, ρ) denote the algebraic padic L-value ... -
Estimating the growth in Mordell-Weil ranks and Shafarevich-Tate groups over Lie extensions
(Springer, 2017)Let E/Q be an elliptic curve, p > 3 a good ordinary prime for E, and K∞ a p-adic Lie extension of a number field k. Under some standard hypotheses, we study the asymptotic growth in both the Mordell–Weil rank and ... -
Heegner cycles and congruences between anticyclotomic p-adic L-functions over CM-extensions
(Electronic Journals Project, 2020)Let E be a CM-field, and suppose that f, g are two primitive Hilbert cusp forms over E⁺ of weight 2 satisfying a congruence modulo λʳ. Under appropriate hypotheses, we show that the complex L-values of f and g twisted by ... -
Non-commutative Iwasawa theory for elliptic curves with multiplicative reduction
(Cambridge University Press (CUP), 2015)Let E/ℚ be a semistable elliptic curve, and p ≠ 2 a prime of bad multiplicative reduction. For each Lie extension ℚ FT / ℚ with Galois group G∞ ≅ℤр ⋊ ℤ p ×, we construct p-adic L-functions interpolating Artin twists of ... -
Transition formulae for ranks of abelian varieties
(Rocky Mountain Mathematics Consortium, 2015)Let A/k denote an abelian variety defined over a number field k with good ordinary reduction at all primes above p, and let K∞ =∪n≥1 Kn be a p-adic Lie extension of k containing the cyclotomic Zp-extension. We use K-theory ...
