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 ... 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 ≥ …
Hodge locus
Did you know?
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 … 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 …
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 … 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…
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 … 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.
NettetOn 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.
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 … bubo cybersecNettetGeometry 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 … express js schedulerNettet6. 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 … expressjs scaffoldingNettet24. 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 … bubo brunchNettetMore 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 ... expressjs routing commandNettet1. 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 … bubo due to haemophilus ducreyi icd 10 codeNettetWe 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, ... express js send base64 image