Results 11 to 20 of about 1,240 (281)
On the Hodge conjecture for hyperkähler manifolds [PDF]
Milan J Math, 2022 The Hodge conjecture predicts a deep connection between topology, complex geometry, and algebraic geometry. It asserts that any Hodge class on a smooth complex projective variety is algebraic, meaning it is a linear combination with rational coefficients
Varesco, Mauro
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A Solution to the Hodge Conjecture
This work proposes a variational approach to the Hodge Conjecture for smooth, projective complex Kähler manifolds. The author introduces a geometrically motivated functional Ω[α], defined on the space of harmonic representatives of rational Hodge classes α ∈ H²ᵖ(X,ℚ) ∩ Hᵖ,ᵖ(X).
Carsten H. F. Warnke
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ON THE HODGE CONJECTURE FOR HYPERSURFACES IN TORIC VARIETIES [PDF]
, 2020 We show that for very general hypersurfaces in odd-dimensional simplicial projective toric varieties satisfying an effective combina- torial property the Hodge conjecture holds. This gives a connection between the Oda conjecture and Hodge conjecture.
Antonella Grassi +3 more
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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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The Ax–Schanuel conjecture for variations of mixed Hodge structures
, 2023 We prove in this paper, the Ax–Schanuel conjecture for all admissible variations of mixed Hodge structures.HORIZON EUROPE European Research Councilhttp://dx.doi.org/10.13039/100019180Peer ...
Gao, Ziyang, Klingler, Bruno
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