Results 11 to 20 of about 318 (149)
Some aspects of the Hodge conjecture [PDF]
Japanese Journal of Mathematics, 2007 The author provides a lucid account of the classical Hodge conjecture, with a fairly comprehensive discussion of its failure when one either tries to formulate a version for the general Kähler setting, or when one works with integral coefficients.
openaire +3 more sources
Моделирование и анализ информационных систем, 2016 Let ) be a projective family of surfaces (possibly with degenerations) over a smooth projective curve . Assume that the discriminant loci are disjoint, for any smooth fibre and the period map associated with the variation of ...
O. V. Nikol’skaya
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Infinite distances and the axion weak gravity conjecture
Journal of High Energy Physics, 2020 The axion Weak Gravity Conjecture implies that when parametrically increasing the axion decay constants, instanton corrections become increasingly important.
Thomas W. Grimm, Damian van de Heisteeg
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SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS
Forum of Mathematics, Sigma, 2016 A generalization of Serre’s Conjecture asserts that if $F$ is a totally real field, then certain characteristic
LASSINA DEMBÉLÉ +2 more
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A gravitino distance conjecture
Journal of High Energy Physics, 2021 We conjecture that in a consistent supergravity theory with non-vanishing gravitino mass, the limit m 3/2 → 0 is at infinite distance. In particular one can write M tower ~ m 3 / 2 δ $$ {m}_{3/2}^{\delta } $$ so that as the gravitino mass goes to zero, a
Alberto Castellano +3 more
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SERRE WEIGHTS AND BREUIL’S LATTICE CONJECTURE IN DIMENSION THREE
Forum of Mathematics, Pi, 2020 We prove in generic situations that the lattice in a tame type induced by the completed cohomology of a $U(3)$-arithmetic manifold is purely local, that is, only depends on the Galois representation at places above $p$. This is a generalization to $\text{
DANIEL LE +3 more
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Homological Bondal-Orlov localization conjecture for rational singularities
Forum of Mathematics, Sigma, 2023 Given a resolution of rational singularities $\pi \colon {\tilde {X}} \to X$ over a field of characteristic zero, we use a Hodge-theoretic argument to prove that the image of the functor ${\mathbf {R}}\pi _*\colon {\mathbf {D}}^{\mathrm {b}}({\
Mirko Mauri, Evgeny Shinder
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Smoothing toroidal crossing spaces
Forum of Mathematics, Pi, 2021 We prove the existence of a smoothing for a toroidal crossing space under mild assumptions. By linking log structures with infinitesimal deformations, the result receives a very compact form for normal crossing spaces.
Simon Felten, Matej Filip, Helge Ruddat
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The Hodge conjecture: The complications of understanding the shape of geometric spaces
Mètode Science Studies Journal: Annual Review, 2018 The Hodge conjecture is one of the seven millennium problems, and is framed within differential geometry and algebraic geometry. It was proposed by William Hodge in 1950 and is currently a stimulus for the development of several theories based on ...
Vicente Muñoz Velázquez
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Moduli space holography and the finiteness of flux vacua
Journal of High Energy Physics, 2021 A holographic perspective to study and characterize field spaces that arise in string compactifications is suggested. A concrete correspondence is developed by studying two-dimensional moduli spaces in supersymmetric string compactifications.
Thomas W. Grimm
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