Jul 2026· Annales de l'Institut Fourier· pp. 1-76· 0 citations· 33 references
Abstract
Let
F
be a totally real number field. Using a recent geometric approach developed by Andreatta and Iovita we construct several variables
p
-adic families of finite slope quaternionic automorphic forms over
F
. It is achieved by interpolating the modular sheaves defined over some auxiliary unitary Shimura curves.
Secondly, we attach
p
-adic
L
-functions to triples of ordinary
p
-adic families of quaternionic automorphic eigenforms. This is done by relating trilinear periods to some trilinear products over unitary Shimura curves which can be interpolated adapting the work of Liu–Zhang–Zhang to our families.
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We construct smooth projective families of algebraic varieties in characteristic
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such that the dimensions of the de Rham...
Casimir Kothari· Journal de Théorie des Nombr...· 0 citations
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Motivated by the list of problems for moments of
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-functions due to Hamieh et al. [7], we prove an asymptotic formula for...
Hui Wang, Xin Wang· Journal de Théorie des Nombr...· 0 citations
We introduce stability conditions (in the sense of King) for representable modules of continuous quivers of type
𝔸
along with a special criteria called the four point condition. The stability conditions are defined using a generalization of
δ
functions, called half-
δ
functions. We show that for a c...
Kiyoshi Igusa, J. Rock· Annals of Representation The...· 0 citations
We study the poset of hyperbolic structures on Thompson’s group
F
and its generalizations
F
n
for
n
≥
2
. The global structure of this poset is as simple as one would expect, with the maximal non-elementary elements being two quasi-parabolic actions corresponding to well-known ascending H...
Sahana H. Balasubramanya, Francesco Fournier-Facio, Matthew C. b. Zaremsky· Algebraic Combinatorics· 0 citations
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An ordered pair of smooth conics satisfies the Poncelet triangle condition if there is a triangle inscribed in the first conic and circumscribed in the second conic. Over a finite field
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Tian-Hao Wang· Journal de Théorie des Nombr...· 0 citations
