Hodge locus
Nettet30. jan. 2024 · Bruno Klingler, Berlin: On the Algebraicity of the Hodge Locus. Weil (1979) noticed that, according to the Hodge conjecture, the Hodge locus of a polarized variation of Hodge structure of geometric origin should be a countable union of irreducible algebraic varieties. Cattani-Deligne-Kaplan ... Nettet21. nov. 2024 · PDF This is the announcement of a conjecture on a Hodge locus for cubic hypersurfaces. Find, read and cite all the research you need on ResearchGate
Hodge locus
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Nettet26. nov. 2024 · Abstract: We present a conjecture on the geometry of the Hodge locus of a (graded polarizable, admissible) variation of mixed … Nettet8. aug. 2015 · The Noether–Lefschetz theorem asserts that any curve in a very general surface [Formula: see text] in [Formula: see text] of degree [Formula: see text] is a restriction of a surface in the ambient space, that is, the Picard number of [Formula: see text] is [Formula: see text]. We proved previously that under some conditions, which …
Nettet29. mar. 2024 · In this paper we investigate the geometry of the Zariski-closure of the Hodge locus \text { HL } (S, { {\mathbb {V}}}^\otimes ). Our methods are variational, hence we only detect the special subvarieties of S for { {\mathbb {V}}} which are of positive period dimension in the following sense:
NettetThe Hodge locus of α is defined as the projection toT (via the natural map p: FkH2k → T)of the connected component of the locus of Hodge classes passing through α . We … Nettet12. jan. 2024 · Abstract. We study the subsets V_k (A) of a complex abelian variety A consisting in the collection of points x\in A such that the zero-cycle \ {x\}-\ {0_A\} is k -nilpotent with respect to the Pontryagin product in the Chow group. These sets were introduced recently by Voisin and she showed that \dim V_k (A) \le k-1 and \dim V_k …
Nettet1. jul. 2024 · Let 𝕍{{\\mathbb{V}}} be a polarized variation of integral Hodge structure on a smooth complex quasi-projective variety S . In this paper, we show that the union of the non-factor special subvarieties for (S,𝕍){(S,{\\mathbb{V}})}, which are of Shimura type with dominant period maps, is a finite union of special subvarieties of S . This generalizes …
NettetLa Fnac vous propose 150 références Idées cadeaux Art : Idées cadeaux Histoire de l'Art avec la livraison chez vous en 1 jour ou en magasin avec -5% de réduction. microsoft teams jitter testNettet12. jan. 2024 · In this paper, we give a complete description of the typical Hodge locus for such variations. We prove that it is either empty or equidistributed with respect to a natural differential form, the pull–push form. In particular, it is always analytically dense when the pull–push form does not vanish. microsoft teams january backgroundsNettet12. nov. 2024 · If local Torelli theorem holds for the fibers and the fibration is non-trivial, an appropriate exterior power of the cohomology of the fiber admits a Hodge substructure. In the case of curves it follows that the moduli image of the fiber is contained in a proper Hodge locus. The second result deals with divisors in $\mathsf{M}_{g}$. microsoft teams jira webhookNettet29. mar. 2024 · In this paper we investigate the geometry of the Zariski-closure of the Hodge locus \text { HL } (S, { {\mathbb {V}}}^\otimes ). Our methods are variational, … microsoft teams ist eineNettetOn the distribution of the Hodge locus. G. Baldi, B. Klingler, E. Ullmo; Mathematics. 2024. Given a polarizable Z -variation of Hodge structures V over a complex smooth quasi-projective base S , a classical result of Cattani, Deligne and Kaplan says that its Hodge locus (i.e. the locus … Expand. 13. PDF. microsoft teams job scamNettet28. jan. 2024 · On the closure of the positive Hodge locus Bruno Klingler, Anna Otwinowska Given a variation of Hodge structures on a quasi-projective base , whose … microsoft teams jitterNettetMore recently, Ivan Johnson founded Yibro Music Group, Inc; an independent gospel record label producing artists with sounds including but not limited to jazz, neo-soul, Hip-hop and R&B, pop, and ... microsoft teams join meeting not working