Generative systems for graphical assets have the potential to provide users with high quality
assets at the push of a button. However, there are many forms of assets, and many …

We prove an asymptotic formula for the number of SL3 (ℤ)-equivalence classes of integral
ternary cubic forms having bounded invariants. We use this result to show that the average …

For elliptic curves over $\mathbb {Q} $, we prove the $ p $-indivisibility of derived Heegner
points for certain prime numbers $ p $, as conjectured by Kolyvagin in 1991. Applications …

Let E be a semistable elliptic curve over Q. We prove that if E has non-split multiplicative
reduction at at least one odd prime or split multiplicative reduction at at least two odd primes …

Abstract Let E∕ ℚ be an elliptic curve of conductor N, let p> 3 be a prime where E has good
ordinary reduction, and let K be an imaginary quadratic field satisfying the Heegner …

This article establishes new cases of the Birch and Swinnerton-Dyer conjecture in analytic
rank $0 $, for elliptic curves over $\mathbb {Q} $ viewed over the fields cut out by certain self …

Explicit Gross–Zagier and Waldspurger formulae Page 1 Algebra & Number Theory msp
Volume 8 2014 No. 10 Explicit Gross–Zagier and Waldspurger formulae Li Cai, Jie Shu and …

In this article, we construct a class of anticyclotomic p-adic Rankin-Selberg L-functions for
Hilbert modular forms, generalizing the construction of Brakocević, Bertolini, Darmon and …

TEXT: We extend Kobayashiʼs formulation of Iwasawa theory for elliptic curves at
supersingular primes to include the case ap≠ 0, where ap is the trace of Frobenius. To do …

Let $ X $ be a smooth projective variety defined over $\overline {\Bbb {Q}} $, and $ f\colon
X\dashrightarrow X $ be a dominant rational map. Let $\delta_f $ be the first dynamical …