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
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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