Hodge type
NettetRational points over finite fields for regular models of algebraic varieties of Hodge type $\geq 1$ Pages 413-508 from Volume 176 (2012), Issue 1 by Pierre Berthelot, Hélène Esnault, Kay Rülling. Abstract. Nettetare affine complex hyperplanes. We show that the mixed Hodge structure of J( is similar to that of the complex torus C* x x C* , i.e., any element in H* (J?, C) has the Hodge type (/, i). This is another example of the similarity of the properties of complements to arrangements and affine toric varieties.
Hodge type
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NettetHodge type can be found in [30,31,34,35]. Main results Let us now recall the formulation of the standard conjecture of Hodge type. Conjecture 1.2 Let d be the dimension of a smooth, projective and geomet-rically connected variety X and fix a hyperplane section L of X. For n ≤ d/2 define the space of primitive cycles Zn,prim num (X)Q as Zn,prim Nettet26. jul. 2024 · Abstract. Each algebraic manifold can be considered a symplectic manifold equipped with a Hodge-type Kähler form. It is therefore natural to study the Lagrangian …
Nettet19. feb. 2024 · Monodromy and Irreducibility of Igusa Varieties. Pol van Hoften, Luciena Xiao Xiao. We determine the irreducible components of Igusa varieties for Shimura varieties of Hodge type and use that to determine the irreducible components of central leaves. In particular, we show that the discrete Hecke-orbit conjecture is false in general. Nettet10. feb. 1994 · On the locus of Hodge classes. Let S be a complex algebraic variety and {Xs}s∈S a family of non singular projective varieties parametrized by S: the Xs are the fibers of f : X → S, with X projective and smooth over S. Fix s ∈ S, an integer p, and a class h ∈ H (Xs,Z) of Hodge type (p, p). Let U be an open, simply connected neighborhood ...
Nettet2 Review of Hodge Theory 2.1 De Rham and Dolbeault Cohomology Let Man C be the category of smooth manifolds with complex structure, with morphisms given by holomorphic maps. For Ma smooth manifold with complex structure, let T M = T 1;0 M T 0;1 M be the tangent bundle. Let p(M) be the sheaf of holomorphic p-forms on M(that … Nettetprove an analogous theorem for (G;X) of Hodge type, conditional on a version of Tate’s theorem for abelian varieties equipped with Hodge cycles - see below. When Gis …
NettetHodge-type Rapoport-Zink spaces, which recovers our construction, in the case when the Hodge-type local Shimura datum (G,[b],{µ−1}) comes from a (global) Hodge-type Shimura datum. Their construction relies on the existence of integral canonical modelsofHodge-type Shimura varietiesand theRapoport-Zinkuniformi-sation for Siegel …
NettetIn this note, we present relations between Hodge-index type inequalities, hyperbolic polynomials, and the solvability of some PDEs in complex geometry. As the starting point, we observe that the classical Hodge-index inequality (with respect to $\omega $ ) follows easily from Yau’s solution to complex Monge–Ampère equations (i.e., the Calabi–Yau … off roading in kentuckyNettetView this $450000 0 bed, 0.0 bath, 4704 sqft single family home located at 2705 Hodge Rd built in 1990 on Zillow. MLS # 1223238. off roading in el paso txNettet2 Review of Hodge Theory 2.1 De Rham and Dolbeault Cohomology Let Man C be the category of smooth manifolds with complex structure, with morphisms given by … my expectation in p.e subject essayNettet23. des. 2024 · On the ordinary Hecke orbit conjecture. We prove the ordinary Hecke orbit conjecture for Shimura varieties of Hodge type at primes of good reduction. We make … off roading in massachusettsNettet24. mai 2024 · 其中 H^ {p,n-p} (M) 是 \bar {\partial} 算子诱导的Dolbeault上同调。. 这个分解就叫Hodge分解。. 整个上同调环配上这种分解构成的结构叫做一个Hodge结构。. … off roading in franceNettet15. mai 2024 · In this paper, we generalize Serre’s result to arbitrary Shimura varieties of Hodge type, using the theory of algebraic modular forms. To state the main result we fix some notations. In this introduction, assume \(p > … off roading in iowaNettetHodge structures Definition of Hodge structures. A pure Hodge structure of integer weight n consists of an abelian group and a decomposition of its complexification H into a … off roading hoodies