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Hodge locus

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 … 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 …

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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 … NettetD’après [Blo72, BF03] nous savons que sous-variétés semi-régulièrs satisfaisent la conjecture de Hodge variationnelle, c’est-à-dire, donné une famille de variétés projectives, lisses , une fibre spéciale et un semi-ré… dr irena eris polanica tripadvisor https://readysetstyle.com

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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 … Nettet1. mai 2024 · We prove the equidistribution of the Hodge locus for certain non-isotrivial, polarized variations of Hodge structure of weight 2 with h2,0=1{h^{2,0}=1} over complex, quasi-projective curves. Given some norm condition, we also give an asymptotic on the growth of the Hodge locus. In particular, this implies the equidistribution of elliptic … 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 … ram 1500 brakes

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Category:Algebraicity of Hodge Loci for Variations of Hodge Structure

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Hodge locus

On the closure of the Hodge locus of positive period …

Nettet26. nov. 2024 · Abstract: We present a conjecture on the geometry of the Hodge locus of a (graded polarizable, admissible) variation of mixed … 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:

Hodge locus

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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, ... Nettet2024–2024. Molde Elite. 2024–. SCM Craiova. Hege Løken (born 31 August 1993) is a Norwegian handball player for Molde Elite. [1] She is also a part of Norway 's recruit …

Nettet26. jan. 2024 · The Hodge and Tate conjectures state that Hodge and Tate classes should be classes of algebraic cycles, and therefore make the following predictions about … NettetPseudo-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 …

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 … Nettetdefinition 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 ≥ …

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 … dr irena eris praca opinieNettetlocus: 2. a center or source, as of activities or power: locus of control. dr irena eris polanica bookingNettet24. 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 … ram 1500 for sale kijijiNettet12. 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. dr. irena gracarNettet12. 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 $\mathsf{M}_{g}$. dr irena eris volumeric krem na nocNettet19. 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 … ram 1500 custom grillNettet30. 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 ... ram 1500 gvw