Hodge locus

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August undefined, 2024

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(PDF) On a Hodge locus - ResearchGate

Nettet5. The Zeroth Degeneracy Locus in a Fiber Power 15 6. The First Degeneracy Locus and the Relative Manin–Mumford Conjecture 18 References 20 1. Introduction The goal of this expository note is to reprove some arguments in [Gao17a,Gao20a], especially regarding the degeneracy loci, with a minimal use of the language of mixed Shimura varieties. Nettet28. mar. 2024 · Existence and density of typical Hodge loci. Nazim Khelifa, David Urbanik. Motivated by a question of Baldi-Klingler-Ullmo, we provide a general sufficient criterion … florida stop woke act pdf

Algebraicity of Hodge Loci for Variations of Hodge Structure

Nettet19. jul. 2024 · For instance the Hodge locus of positive period dimension of the universal family of degree smooth hypersurfaces in , , , is algebraic. On the other hand we prove … Nettet6. apr. 2024 · For instance the Hodge locus of positive period dimension of the universal family of degree d smooth hypersurfaces in the projective space of dimension n+1 is … Nettet13. nov. 2024 · and any tangent vector $t \in T_oB$, the fundamental class [D] deforms as a Hodge class in the direction of t if and only if the image of $\xi ^t_D \in H^2_D({{\,\mathrm{{\mathcal {O}}}\,}}_X)$ defined in Theorem 1.1 above, maps to zero in $\mathrm {coker}(\Phi _{(T \subseteq D)})$.. In other words, the topological obstruction … great whites northern california

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Hodge locus

Local topological obstruction for divisors SpringerLink

Nettet7. nov. 2024 · Date: Title/Abstract: 11/7/2024. Video: Title: Hodge and Noether-Lefschetz loci Abstract: Hodge cycles are topological cycles which are conjecturally (the millennium Hodge conjecture) supported in algebraic cycles of a given smooth projective complex manifold.Their study in families leads to the notion of Hodge locus, which is also … Nettet26. nov. 2024 · Abstract: We present a conjecture on the geometry of the Hodge locus of a (graded polarizable, admissible) variation of mixed …

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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 ... Nettet29. mar. 2024 · However, no study has reported the occurrence of ST1966 co-harbouring New Delhi Metallo-beta-lactamase-1 (NDM-1) and Klebsiella pneumoniae carbapenemase (KPC) in P. aeruginosa. A previous study has reported a co-existence of E. coli with NDM-1 and MCR-1. 9 In addition, there has been no report on the co-existence of blaNDM-1 …

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NettetHodge locus is also a countable union of algebraic subvarieties of T. In this case, the study of the local Hodge loci V λ is an interesting problem by itself, since variational … NettetThomas Hale Boggs Sr. (February 15, 1914 – disappeared October 16, 1972; declared dead December 29, 1972) was an American Democratic politician and a member of the …

NettetThe Hodge locus HLn,d ⊆ T is the set of parameters t ∈ T corresponding to hypersurfaces containing non-trivial primitive Hodge cycles, i.e. such that Hn(Xt,Z) ∩ H n 2,n (X t)prim 6= 0.

Nettet10. feb. 1994 · The Hodge filtration Ft of H (Xt,C), t ∈ U , can be viewed as a variable filtration on the fixed complex vector space H(Xs,C). It varies holomorphically with t. It … great whites nova scotiaNettet29. 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, … florida stop woke actNettetThe Hodge locus HL(S,V) is the set of points s ∈ San for which the Hodge structure Vs admits more Hodge classes than the very general ﬁber V s (for us a Hodge class of a pure Z-Hodge structure H = (HZ,F•) is a class in HZ whose image in HC lies in F0HC, or equivalently a morphism of Hodge structures Z(0) → H). It is empty if V contains ... great white society