Results 21 to 30 of about 447 (66)
The automorphism group of the non-split Cartan modular curve of level 11
, 2014 We derive equations for the modular curve $X_{ns}(11)$ associated to a non-split Cartan subgroup of $\,\mathrm{GL}_2(\mathbf{F}_{11})$. This allows us to compute the automorphism group of the curve and show that it is isomorphic to Klein's four ...
Dose, Valerio +3 more
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Calabi–Yau attractor varieties and degeneration of Hodge structure
Open PhysicsWe present an application of asymptotic Hodge theory to the study of the attractor locus in flux compactifications. Our strategy is to investigate attractor points arising at the boundary of moduli spaces, where the limiting mixed Hodge structures encode
Rahmati Mohammad Reza
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F-zips with additional structure on splitting models of Shimura varieties
Forum of Mathematics, SigmaWe construct universal G-zips on good reductions of the Pappas-Rapoport splitting models for PEL-type Shimura varieties. We study the induced Ekedahl-Oort stratification, which sheds new light on the mod p geometry of splitting models.
Xu Shen, Yuqiang Zheng
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Regularity of quotients of Drinfeld modular schemes
, 2019 Let $A$ be the coordinate ring of a projective smooth curve over a finite field minus a closed point. For a nontrivial ideal $I \subset A$, Drinfeld defined the notion of structure of level $I$ on a Drinfeld module. We extend this to that of level $N$,
Kondo, Satoshi, Yasuda, Seidai
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Integral models of Shimura varieties with parahoric level structure, II
Forum of Mathematics, PiWe construct integral models of Shimura varieties of abelian type with parahoric level structure over odd primes. These models are étale locally isomorphic to corresponding local models.
Mark Kisin, Georgios Pappas, Rong Zhou
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Hodge numbers for the cohomology of Calabi-Yau type local systems
, 2013 We use Higgs cohomology to determine the Hodge numbers of the first intersection cohomology group of a local system V arising from the third direct image of a family of Calabi-Yau 3-folds over a smooth, quasi-projective curve.
A. Garbagnati +9 more
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Canonical integral models for Shimura varieties of abelian type
Forum of Mathematics, SigmaWe prove a conjecture of Pappas and Rapoport for all Shimura varieties of abelian type with parahoric level structure when $p>2$ by showing that the Kisin–Pappas–Zhou integral models of Shimura varieties of abelian type are canonical.
Patrick Daniels, Alexander Youcis
doaj +1 more source
, 2001 We prove that there is only a finite number of genus 2 curves C defined over Q such that there exists a nonconstant morphism pi:X_1(N) --->C defined over Q and the jacobian of C, J(C), is a Q-factor of the new part of the jacobian of X_1(N), J_1(N)^{new}.
Gonzalez, Josep +1 more
core +3 more sources
Forum of Mathematics, SigmaWe prove a general likely intersections theorem, a counterpart to the Zilber-Pink conjectures, under the assumption that the Ax-Schanuel property and some mild additional conditions are known to hold for a given category of complex quotient spaces ...
Sebastian Eterović, Thomas Scanlon
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Forum of Mathematics, SigmaWe consider integral models of Hilbert modular varieties with Iwahori level structure at primes over p, first proving a Kodaira–Spencer isomorphism that gives a concise description of their dualizing sheaves. We then analyze fibres of the degeneracy maps
Fred Diamond
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