Browsing by Author "Lei, Antonio"
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Congruences modulo ρ between ρwisted HasseWeil Lvalues
Delbourgo, Daniel; Lei, Antonio (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 Lvalue ... 
Estimating the growth in MordellWeil ranks and ShafarevichTate groups over Lie extensions
Delbourgo, Daniel; Lei, Antonio (Springer, 2017)Let E/Q be an elliptic curve, p > 3 a good ordinary prime for E, and K∞ a padic Lie extension of a number field k. Under some standard hypotheses, we study the asymptotic growth in both the Mordell–Weil rank and ... 
Noncommutative Iwasawa theory for elliptic curves with multiplicative reduction
Delbourgo, Daniel; Lei, Antonio (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 padic Lfunctions interpolating Artin twists of ... 
Transition formulae for ranks of abelian varieties
Delbourgo, Daniel; Lei, Antonio (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 padic Lie extension of k containing the cyclotomic Zpextension. We use Ktheory ...
Coauthors for Antonio Lei
Antonio Lei has 1 coauthors in Research Commons.