Results 21 to 30 of about 558 (94)

Unitary Friedberg–Jacquet periods and anticyclotomic p-adic L-functions

Forum of Mathematics, Sigma
We extend the construction of the p-adic L-function interpolating unitary Friedberg–Jacquet periods in previous work of the author to include the p-adic variation of Maass–Shimura differential operators.
Andrew Graham
doaj   +1 more source

Eigenvarieties for non-cuspidal modular forms over certain PEL Shimura varieties

, 2016
33 pages. Comments welcome!
Brasca, Riccardo, Rosso, Giovanni
openaire   +4 more sources

Generalised θ operators on unitary Shimura varieties

Canadian Journal of Mathematics - Journal Canadien de Mathematiques
The main result of this paper is the construction of a new class of weight shifting operators, similar to the theta operators of [Eis+21], [SG19] and others, which are defined on the lower Ekedahl-Oort strata of the geometric special fibre of unitary ...
Lorenzo La Porta
semanticscholar   +1 more source

Heights on ‘hybrid orbits’ in Shimura varieties

Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.
Abstract We prove the ‘hybrid conjecture’ which is a common generalisation of the André–Oort conjecture and the André–Pink–Zannier conjecture, in the case of Shimura varieties of abelian type.
Rodolphe Richard, Andrei Yafaev
wiley   +1 more source

Abelian threefolds with imaginary multiplication

Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.
Abstract Let A$A$ be an abelian threefold defined over a number field K$K$ with potential multiplication by an imaginary quadratic field M$M$. Under mild assumptions on K$K$, if A$A$ has signature (2,1) and the multiplication by M$M$ is defined over KM$KM$, we attach to A$A$ an elliptic curve defined over K$K$ with potential complex multiplication by M$
Francesc Fité, Pip Goodman
wiley   +1 more source

On the zeta functions of Shimura varieties and periods of Hilbert modular forms

Duke Mathematical Journal, 1994
Let \(F\) be a totally real algebraic number field of degree \(n\) and let \(B\) be a quaternion algebra over \(F\) such that \(B \otimes_ \mathbb{Q} \mathbb{R}\cong M_ 2 (\mathbb{R})^ r \times \mathbb{H}^{n -r}\) with \(r>0\), where \(\mathbb{H}\) is the Hamilton quaternion algebra. Let \(H= \text{Gal} (\overline {\mathbb{Q}}/ F)\), and let \(\Omega\)
openaire   +3 more sources

Distinct Defence Mechanisms of Allelopathic Rice Against Quinclorac‐Susceptible and ‐Resistant Barnyardgrass: Involvement of Specific Metabolites and Rhizosheath Microbiota

Plant Biotechnology Journal, Volume 24, Issue 6, Page 3876-3896, June 2026.
ABSTRACT Allelopathic rice is increasingly recognised as a promising strategy for sustainable weed management. Resistance to the herbicide quinclorac is widespread in barnyardgrass, but it remains unclear whether allelopathic rice exerts the same defence against herbicide‐susceptible and ‐resistant barnyardgrass. We conducted integrated transcriptomic,
Shuyan Li, Qiling Yan, Jianhua Tong, Yongfeng Li, Lianyang Bai, Qiong Peng   +5 more
wiley   +1 more source

Motivic mirror symmetry and χ$\chi$‐independence for Higgs bundles in arbitrary characteristic

Proceedings of the London Mathematical Society, Volume 132, Issue 6, June 2026.
Abstract We prove that the (twisted orbifold) motives of the moduli spaces of SLn$\mathrm{SL}_n$ and PGLn$\mathrm{PGL}_n$‐Higgs bundles of coprime rank and degree on a smooth projective curve over an algebraically closed field in which the rank is invertible are isomorphic in Voevodsky's triangulated category of motives.
Victoria Hoskins, Simon Pepin Lehalleur
wiley   +1 more source

Non-solvable base change for Hilbert modular representations and zeta functions of twisted quaternionic Shimura varieties [PDF]

Annales de la Faculté des sciences de Toulouse : Mathématiques, 2011
In this paper we prove some non-solvable base change for Hilbert modular representations, and we use this result to show the meromorphic continuation to the entire complex plane of the zeta functions of some twisted quaternionic Shimura varieties. The zeta functions of the twisted quaternionic Shimura varieties are computed at all places.
openaire   +2 more sources

Ordinary primes for GL2$\operatorname{GL}_2$‐type abelian varieties and weight 2 modular forms

Mathematika, Volume 72, Issue 2, April 2026.
Abstract Let A$A$ be a g$g$‐dimensional abelian variety defined over a number field F$F$. It is conjectured that the set of ordinary primes of A$A$ over F$F$ has positive density, and this is known to be true when g=1,2$g=1, 2$, or for certain abelian varieties with extra endomorphisms.
Tian Wang, Pengcheng Zhang
wiley   +1 more source