On two theorems for flat, affine group schemes over a discrete valuation ring [PDF]
Open Mathematics, 2005 We include short and elementary proofs of two theorems characterizing reductive group schemes over a discrete valuation ring, in a slightly more general context.Comment: 10 pages. To appear in C. E. J.
Vasiu Adrian
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Normalizers of intermediate congruence subgroups of the Hecke subgroups
Open Mathematics, 2017 For a square-free positive integer N, we study the normalizer of ΓΔ(N) in PSL2(ℝ) and investigate the group structure of its quotient by ΓΔ(N) under certain conditions.
Chang Heon Kim
exaly +2 more sources
The integral monodromy of hyperelliptic and trielliptic curves
Mathematische Annalen, 2006 We compute the $\integ/\ell$ and $\integ_\ell$ monodromy of every irreducible component of the moduli spaces of hyperelliptic and trielliptic curves. In particular, we provide a proof that the $\integ/\ell$ monodromy of the moduli space of hyperelliptic ...
Jeffrey D Achter, Rachel Justine Pries
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Exceptional jumps of Picard ranks of reductions of K3 surfaces over number fields
Forum of Mathematics, Pi, 2022 Given a K3 surface X over a number field K with potentially good reduction everywhere, we prove that the set of primes of K where the geometric Picard rank jumps is infinite.
Ananth N. Shankar +3 more
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Chow groups and L-derivatives of automorphic motives for unitary groups, II.
Forum of Mathematics, Pi, 2022 In this article, we improve our main results from [LL21] in two directions: First, we allow ramified places in the CM extension $E/F$ at which we consider representations that are spherical with respect to a certain special maximal compact subgroup, by ...
Chao Li, Yifeng Liu
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CM liftings of $K3$ surfaces over finite fields and their applications to the Tate conjecture
Forum of Mathematics, Sigma, 2021 We give applications of integral canonical models of orthogonal Shimura varieties and the Kuga-Satake morphism to the arithmetic of $K3$ surfaces over finite fields.
Kazuhiro Ito +2 more
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ANDRÉ–OORT CONJECTURE AND NONVANISHING OF CENTRAL $L$ -VALUES OVER HILBERT CLASS FIELDS
Forum of Mathematics, Sigma, 2016 Let $F/\mathbf{Q}$ be a totally real field and $K/F$ a ...
ASHAY A. BURUNGALE, HARUZO HIDA
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Grassmanniennes affines tordues sur les entiers
Forum of Mathematics, Sigma, 2023 We generalize the works of Pappas–Rapoport–Zhu on twisted affine Grassmannians to the wildly ramified case under mild assumptions. This rests on a construction of certain smooth affine $\mathbb {Z}[t]$ -groups with connected fibers of parahoric ...
João Lourenço
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ENLARGED MIXED SHIMURA VARIETIES, BI-ALGEBRAIC SYSTEM AND SOME AX TYPE TRANSCENDENTAL RESULTS
Forum of Mathematics, Sigma, 2019 We develop a theory of enlarged mixed Shimura varieties, putting the universal vectorial bi-extension defined by Coleman into this framework to study some functional transcendental results of Ax type. We study their bi-algebraic systems, formulate the Ax-
ZIYANG GAO
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On component groups of Jacobians of quaternionic modular curves [PDF]
, 2016 We use a combinatorial result relating the discriminant of the cycle pairing on a weighted finite graph to the eigenvalues of its Laplacian to deduce a formula for the orders of component groups of Jacobians of modular curves arising from quaternion ...
Papikian, Mihran
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