1,720,996 research outputs found
Motivic periods and Grothendieck arithmetic invariants
Full text linkWe construct a period regulator for motivic cohomology of an algebraic scheme over a subfield of the complex numbers. For the field of algebraic numbers we formulate a period conjecture for motivic cohomology by saying that this period regulator is surjective. Showing that a suitable Betti–de Rham realization of 1-motives is fully faithful we can verify this period conjecture in several cases. The divisibility properties of motivic cohomology imply that our conjecture is a neat generalization of the classical Grothendieck period conjecture for algebraic cycles on smooth and proper schemes. These divisibility properties are treated in an appendix by B. Kahn (extending previous work of Bloch and Colliot-Thélène–Raskind)
"In adempimento del mandato di cui fui onorato" Relazione di Giacomo Levi Civita sulle Comunità ebraiche italiane. Per il Collegio rabbinico di Padova
No full textCommento e descrizione storica di un contributo di rilievo, una relazione del 1868 di Giacomo Levi Civita in seguito ai suoi incontri con i dirigenti in tutte le Comunità ebraiche della penisola italiana. Levi Civita, in seguito garibaldino, avvocato e sindaco della città patavina, eseguì questo in età giovanile su commissione della dirigenza del Collegio rabbinico di Padova, gestito dalle Comunità ebraiche del Veneto e del Mantovano. La relazione si è svolta in una fase particolarmente delicata delle riorganizzazioni delle Comunità ebraiche e delle loro istituzioni. La pubblicazione comprende la storia della vita e della situazione dell'autore e un'appendice documentaria del suo contributo e della sua ampia descrizione
p-adic families of Siegel modular cuspforms
No full textLet p be an odd prime and g ≥ an integer. We prove that a finite slope Siegel cuspidal eigenform of genus g can be p-adically deformed over the g-dimensional weight space. The proof of this theorem relies on the construction of a family of sheaves of locally analytic overconvergent modular forms
Overconvergent modular sheaves and modular forms for GL 2/F
No full textGiven a totally real field F and a prime integer p which is unramified in F, we construct p-adic families of overconvergent Hilbert modular forms (of non-necessarily parallel weight) as sections of, so called, overconvergent Hilbert modular sheaves. We prove that the classical Hilbert modular forms of integral weights are overconvergent in our sense. We compare our notion with Katz’s definition of p-adic Hilbert modular forms. For F = Q, we prove that our notion of (families of) overconvergent ellipticmodular forms coincides with those of R. Coleman and V. Pilloni
Ogus realization of 1-motives
Full text linkAfter introducing the Ogus realization of 1-motives we prove that it is a fully faithful functor. More precisely, following a framework introduced by Ogus, considering an enriched structure on the de Rham realization of 1-motives over a number field, we show that it yields a full functor by making use of an algebraicity theorem of Bost
Overconvergent Eichler-Shimura isomorphims
Full text linkGiven a prime p>2, an integer h≥0, and a wide open disk U in the weight space W of GL2, we construct a Hecke–Galois-equivariant morphism Ψ(h)U from the space of analytic families of overconvergent modular symbols over U with bounded slope ≤h, to the corresponding space of analytic families of overconvergent modular forms, all with Cp-coefficients. We show that there is a finite subset Z of U for which this morphism induces a p-adic analytic family of isomorphisms relating overconvergent modular symbols of weight k and slope ≤h to overconvergent modular forms of weight k+2 and slope ≤h
A 0,5 (half) overconvergent Eichler-Shimura isomorphism
No full textIn this article we construct a Galois and Hecke equivariant morphism connecting the first cohomology group on Faltings’ site of a formal strict neighborhood of the ordinary locus in a formal modular curve of level prime to p, with coefficients in the analytic distributions of a certain analytic weight k on the p-adic Tate module of the universal elliptic curve to the overconvergent modular forms of weight k+ 2. We prove that this morphism is an isomorphism on the finite slope parts
On overconvergent hilbert modular cusp forms
No full textWe p-adically interpolate modular invertible sheaves over a strict neighborhood of the ordinary locus of an Hilbert modular variety. We then prove the existence of finite slope families of cuspidal eigenforms
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