Results 1 to 10 of about 298 (130)
Forum of Mathematics, Sigma, 2021 We establish the Bernstein-centre type of results for the category of mod p representations of $\operatorname {\mathrm {GL}}_2 (\mathbb {Q}_p)$ . We treat all the remaining open cases, which occur when p is $2$ or $3$ .
Vytautas Paškūnas, Shen-Ning Tung
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Troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique sur un corps de fonctions d'une variable [PDF]
Épijournal de Géométrie Algébrique, 2018 En combinant une m\'ethode de C. Voisin avec la descente galoisienne sur le groupe de Chow en codimension $2$, nous montrons que le troisi\`eme groupe de cohomologie non ramifi\'ee d'un solide cubique lisse d\'efini sur le corps des fonctions d'une ...
Jean-Louis Colliot-Thélène +1 more
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Real rectifiable currents, holomorphic chains and algebraic cycles
Complex Manifolds, 2021 We study some fundamental properties of real rectifiable currents and give a generalization of King’s theorem to characterize currents defined by positive real holomorphic chains.
Teh Jyh-Haur, Yang Chin-Jui
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Classifying divisor topologies for string phenomenology
Journal of High Energy Physics, 2022 In this article we present a pheno-inspired classification for the divisor topologies of the favorable Calabi Yau (CY) threefolds with 1 ≤ h 1,1(CY) ≤ 5 arising from the four-dimensional reflexive polytopes of the Kreuzer-Skarke database.
Pramod Shukla
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On locally analytic vectors of the completed cohomology of modular curves
Forum of Mathematics, Pi, 2022 We study the locally analytic vectors in the completed cohomology of modular curves and determine the eigenvectors of a rational Borel subalgebra of $\mathfrak {gl}_2(\mathbb {Q}_p)$ .
Lue Pan
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Weak gravity bounds in asymptotic string compactifications
Journal of High Energy Physics, 2021 We study the charge-to-mass ratios of BPS states in four-dimensional N $$ \mathcal{N} $$ = 2 supergravities arising from Calabi-Yau threefold compactifications of Type IIB string theory.
Brice Bastian +2 more
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Noncommutative Hodge conjecture
Journal of Noncommutative Geometry, 2023 The paper provides a version of the rational Hodge conjecture for \mathsf{dg} categories. The noncommutative Hodge conjecture is equivalent to the version proposed by Perry (2022) for admissible subcategories.
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ON THE INTEGRAL HODGE AND TATE CONJECTURES OVER A NUMBER FIELD
Forum of Mathematics, Sigma, 2013 Hassett and Tschinkel gave counterexamples to the integral Hodge conjecture among 3-folds over a number field. We work out their method in detail, showing that essentially all known counterexamples to the integral Hodge conjecture over the complex ...
BURT TOTARO
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Hodge decomposition of string topology
Forum of Mathematics, Sigma, 2021 Let X be a simply connected closed oriented manifold of rationally elliptic homotopy type. We prove that the string topology bracket on the $S^1$-equivariant homology $ {\overline {\text {H}}}_\ast ^{S^1}({\mathcal {L}} X,{\mathbb {Q}}) $ of the free ...
Yuri Berest +2 more
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Beilinson's Hodge Conjecture for Smooth Varieties [PDF]
Journal of K-Theory, 2013 AbstractLet U/ℂ be a smooth quasi-projective variety of dimension d, CHr (U,m) Bloch's higher Chow group, andclr,m: CHr (U,m) ⊗ ℚ → homMHS (ℚ(0), H2r−m (U, ℚ(r)))the cycle class map. Beilinson once conjectured clr,m to be surjective [Be]; however, Jannsen was the first to find a counterexample in the case m = 1 [Ja1].
de Jeu, R.M.H., Lewis, J.D.
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