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 ... 
Heegner cycles and congruences between anticyclotomic padic Lfunctions over CMextensions
Delbourgo, Daniel; Lei, Antonio (Electronic Journals Project, 2020)Let E be a CMfield, 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 Lvalues of f and g twisted by ... 
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.