Daniel Disegni

activity

20132024

most citedThe p-adic Gross-Zagier formula on Shimura curves

20 citations · 82 across the 13 of their papers we have counts for

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math.NT2024★ 1 cited

Euler systems for conjugate-symplectic motives

Daniel Disegni

Let $ρ$ be a conjugate-symplectic, geometric representation of the Galois group of a CM field. Under the assumption that $ρ$ is automorphic, even-dimensional, and of minimal regula…

math.NT2024★ 1 cited

Gan--Gross--Prasad cycles and derivatives of $p$ -adic $L$ -functions

Daniel Disegni, Wei Zhang

We study the p-adic analogue of the arithmetic Gan-Gross-Prasad (GGP) conjectures for unitary groups. Let $Π$ be a conjugate-selfdual cuspidal automorphic representation of GL_{n}…

math.NT2023

Theta cycles and the Beilinson--Bloch--Kato conjectures

Daniel Disegni

We introduce `canonical' classes in the Selmer groups of certain Galois representations with a conjugate-symplectic symmetry. They are images of special cycles in unitary Shimura v…

math.NT2022★ 1 cited

A $p$ -adic arithmetic inner product formula

Daniel Disegni, Yifeng Liu

Fix a prime number $p$ and let $E / F$ be a CM extension of number fields in which $p$ splits relatively. Let $π$ be an automorphic representation of a quasi-split unitary group of e…

math.NT2021★ 3 cited

$p$ -adic L-functions via local-global interpolation: the case of $GL_{2} \times GU (1)$

Daniel Disegni

Let $F$ be a totally real field and let $E / F$ be a CM quadratic extension. We construct a $p$ -adic $L$ -function attached to Hida families for the group ${\rm GL}_{2/F}\times {\rm R…

math.NT2020★ 17 cited

The universal $p$ -adic Gross-Zagier formula

Daniel Disegni

Let $G$ be the group $(GL_{2} \times GU (1)) / GL_{1}$ over a totally real field $F$ , and let $X$ be a Hida family for $G$ . Revisiting a con…

math.NT2019★ 8 cited

The $p$ -adic Gross-Zagier formula on Shimura curves, II: nonsplit primes

Daniel Disegni

The formula of the title relates $p$ -adic heights of Heegner points and derivatives of $p$ -adic $L$ -functions. It was originally proved by Perrin-Riou for $p$ -ordinary elliptic cur…

math.NT2019★ 5 cited

p-adic equidistribution of CM points

Daniel Disegni

Let $X$ be a modular curve and consider a sequence of Galois orbits of CM points in $X$ , whose $p$ -conductors tend to infinity. Its equidistribution properties in $X (C)$ and…

math.NT2018★ 7 cited

Local Langlands correspondence, local factors, and zeta integrals in analytic families

Daniel Disegni

We study the variation of the local Langlands correspondence for $GL_{n}$ in characteristic-zero families. We establish an existence and uniqueness theorem for a corresponden…

math.NT2018★ 8 cited

On the non-vanishing of $p$ -adic heights on CM abelian varieties, and the arithmetic of Katz $p$ -adic $L$ -functions

Ashay Burungale, Daniel Disegni

Let $B$ be a simple CM abelian variety over a CM field $E$ , $p$ a rational prime. Suppose that $B$ has potentially ordinary reduction above $p$ and is self-dual with root number $-…

math.NT2016★ 6 cited

On the p-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields

Daniel Disegni

We formulate a multi-variable p-adic Birch and Swinnerton-Dyer conjecture for p-ordinary elliptic curves A over number fields K. It generalises the one-variable conjecture of Mazur…

math.NT2015★ 20 cited

The p-adic Gross-Zagier formula on Shimura curves

Daniel Disegni

We prove a general formula for the $p$ -adic heights of Heegner points on modular abelian varieties with potentially ordinary (good or semistable) reduction at the primes above $p$ .…

math.NT2013★ 5 cited

p-adic Heights of Heegner points on Shimura curves

Daniel Disegni

Let $f$ be a primitive Hilbert modular form of parallel weight $2$ and level $N$ for the totally real field $F$ , and let $p$ be a rational prime coprime to $2 N$ . If $f$ is ordinary…

Euler systems for conjugate-symplectic motives

Gan--Gross--Prasad cycles and derivatives of p-adic L-functions

Theta cycles and the Beilinson--Bloch--Kato conjectures

A p-adic arithmetic inner product formula

p-adic L-functions via local-global interpolation: the case of GL2​×GU(1)

The universal p-adic Gross-Zagier formula

The p-adic Gross-Zagier formula on Shimura curves, II: nonsplit primes

p-adic equidistribution of CM points

Local Langlands correspondence, local factors, and zeta integrals in analytic families

On the non-vanishing of p-adic heights on CM abelian varieties, and the arithmetic of Katz p-adic L-functions

On the p-adic Birch and Swinnerton-Dyer conjecture for elliptic curves over number fields

The p-adic Gross-Zagier formula on Shimura curves

p-adic Heights of Heegner points on Shimura curves

Gan--Gross--Prasad cycles and derivatives of $p$ -adic $L$ -functions

A $p$ -adic arithmetic inner product formula

$p$ -adic L-functions via local-global interpolation: the case of $GL_{2} \times GU (1)$

The universal $p$ -adic Gross-Zagier formula

The $p$ -adic Gross-Zagier formula on Shimura curves, II: nonsplit primes

On the non-vanishing of $p$ -adic heights on CM abelian varieties, and the arithmetic of Katz $p$ -adic $L$ -functions