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Hodge locus

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, … Nettet29. nov. 2024 · We present a conjecture on the geometry of the Hodge locus of a (graded polarizable, admissible) variation of mixed Hodge structure over a complex smooth quasi-projective base, generalizing to this … Expand. 23. PDF. Save. Alert. Fixed points, local monodromy, and incompressibility of congruence covers.

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NettetGeometry of the Hodge locus. On the distribution of the Hodge locus, (with B.Klingler and E.Ullmo), arXiv, 2024. Special subvarieties of non-arithmetic ball quotients and Hodge … NettetIl Premio Locus per il miglior romanzo dell'orrore e dark fantasy è stato un premio letterario conferito con cadenza annuale della rivista mensile statunitense Locus, facente parte dei Premi Locus.Il premio comprendeva anche i romanzi dark fantasy, fino ad allora premiati con il Premio Locus per il miglior romanzo fantasy, dopo la soppressione del … how to lead someone to christ scriptures https://andreas-24online.com

On the closure of the Hodge locus of positive period dimension

Nettet29. jul. 2016 · Resistance to the Australian pea aphid (PA; Acyrthosiphon pisum) biotype in cultivar Jester of the model legume Medicago truncatula is mediated by a single dominant gene and is phloem-mediated. The genetic map position for this resistance gene, APR (Acyrthosiphon pisum resistance), is provided and shows that APR maps 39 … 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. NettetLocus was an Inhuman of Attilan and a member of the Royal Guard. Following the escape of Gorgon on Oahu, she was recruited a part of a task force to apprehend her former … how to lead offering at church

On a Hodge locus

Category:Hodge loci and absolute Hodge classes - Cambridge

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Hodge locus

[PDF] On the locus of Hodge classes Semantic Scholar

NettetThe 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 …

Hodge locus

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Nettetgeometers would usually just say that the Hodge locus is a countable union of proper closed algebraic subsets, hence that there are complex points in B(C) out-side the … Nettet12. 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.

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Nettet28. 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 … 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 …

NettetWe present a conjecture on the geometry of the Hodge locus of a (graded polarizable, admissible) variation of mixed Hodge structure over a complex smooth quasi-projective base, ...

NettetIn the proof of Theorem 2.1, one considers the whole Hodge locus Lof a vari-ation, instead of that de ned by just one section; this is often called the (integral) Noether-Lefschetz locus. If (V Z;F) is a variation of polarized Hodge structure of weight 2pon a complex manifold S, its integral Hodge locus is the subset of the bundle Fpde ned by josh cox facebookNettet24. mar. 2024 · For every even number n, and every n-dimensional smooth hypersurface of $${\\mathbb {P}}^{n+1}$$ P n + 1 of degree d, we compute the periods of all its $$\\frac{n}{2}$$ n 2 -dimensional complete intersection algebraic cycles. Furthermore, we determine the image of the given algebraic cycle under the cycle class map inside the … josh cox dayton physiciansNettetPseudo-Anosovs of interval type Ethan FARBER, Boston College (2024-04-17) A pseudo-Anosov (pA) is a homeomorphism of a compact connected surface S that, away from a finite set of points, acts locally as a linear map with one expanding and one contracting eigendirection. Ubiquitous yet mysterious, pAs have fascinated low-dimensional … how to lead someone to boethiah\u0027s shrineNettet19. 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 … how to lead rope soloNettetThe 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 ... how to lead restorativelyNettetdefinition of the Hodge locus (2) V [Z]:= n t ∈ (T,0) δ tis a Hodge cycle, that is δ ∈ H n 2,n 2 (X ) ∩Hn(X ,Z) o. We have VZ ⊂ V [Z] and claim that Conjecture 1. For d = 3,n ≥ … josh cox agentNettet29. nov. 2024 · (joint with Baldi and Ullmo) Given a polarizable variation of Hodge structures on a smooth quasi projective variety S, Cattani-Deligne-Kaplan proved that … josh cox actor