Hodge numbers of hypersurfaces
NettetH Hodge numbers of hypersurfaces and complete intersections Project ID: 10386050 Star 1 9 Commits 1 Branch 0 Tags 358 KB Project Storage This Python program … NettetHodge module. We consider the shifted complex (1.5) M(L 0;p L) := H p Q H I [1]; where Q H I denotes the \constant" Hodge sheaf, and p is the corresponding nearby cycle functor on the level of Saito’s mixed Hodge modules (i.e., if rat: Db(MHM(I)) !Db c (I) is the forgetful functor associating to a complex of mixed Hodge modules the underlying
Hodge numbers of hypersurfaces
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Nettet5. feb. 2007 · Abstract: We define defect for hypersurfaces with A-D-E singularities in complex projective normal Cohen-Macaulay fourfolds having some vanishing properties … Nettet14. apr. 2024 · Title: Hodge numbers of hypersurfaces in $\mathbb P^{4}$ with ordinary triple points. Authors: Sławomir Cynk. Download PDF Abstract: We give a formula for …
NettetI have written a small (Python) program which computes Hodge numbers of hypersurfaces; It is very easy to modify to work for complete intersections, too. It … Nettet5. mar. 2007 · We define defect for hypersurfaces with A-D-E singularities in complex projective normal Cohen-Macaulay fourfolds having some vanishing properties of Bott …
NettetHodge Numbers of Hypersurfaces 379 into account the (p, q)-types, while the other polynomials keep track only of the weights. Let Z = {ab...am} be the singular locus of … Nettet14. apr. 2024 · Hence to determine the Hodge numbers of both X andX it suffices to determine δ. Observe, that (2.3) combined with [3, Corollary 6] implies that the defect δ …
NettetI have written a small (Python) program which computes Hodge numbers of hypersurfaces; It is very easy to modify to work for complete intersections, too. It contains references (to Hirzebruch and Deligne) in the comments section, and also a couple of examples in dimensions two and three: Link, at the GitLab Share Cite Follow
NettetIn geometry, a hypersurface is a generalization of the concepts of hyperplane, plane curve, and surface.A hypersurface is a manifold or an algebraic variety of dimension n − 1, … great minds scholarshipNettetgiven a smooth proper f : Y !X, under inequalities on the Hodge numbers of Hi(Y x;Q), plus the assumption that ˆhas big monodromy. (e.g. SL N;Sp N;SO N su ciently big.) Example: X = moduli space of smooth hypersurfaces in Pn Z, Y=universal family, i = n 1. Want to do Noetherian induction, but lose big monodromy. great minds richmond va locationNettetNext, closed-form combinatorial expressions were obtained for Hodge numbers $h^{p,1}(X)$ of Calabi-Yau nef complete intersections of two hypersurfaces in toric … great minds richmondNettetCompositio Math. 34 (1977), 211–223) for weighted projective spaces of Dimca (Betti numbers of hypersurfaces and defects of linear systems. Duke Math. J. 60 (1990), … great minds run in the same channelNettet14. apr. 2024 · Hence to determine the Hodge numbers of both X andX it suffices to determine δ. Observe, that (2.3) combined with [3, Corollary 6] implies that the defect δ coincides with the integer that is ... great minds richmond virginiaNettet1. jan. 1999 · Abstract. The authors compute explicitly all the Hodge numbers for all Calabi-Yau manifolds realised as complete intersections of hypersurfaces in products of complex projective spaces. This ... great minds reach for heavenNettetTheories with 5 (scaling) variables comprise the complete class of 7,555 (78kb) quasismooth Calabi-Yau hypersurfaces embedded in weighted 4-space. The list of 3,284 (39kb) theories with more than five variables define higher-dimensional manifolds, so … flood modelling out of date abc