Hodge numbers of hypersurfaces
NettetA complex variety, degenerating over a punctured disk, carries a limit mixed Hodge structure on its cohomology, encoding the action of monodromy. The associated limit mixed Hodge–Deligne polynomial can be expressed in terms of the motivic nearby fiber. Using techniques from tropical geometry, we present a new formula for the motivic … NettetHodge numbers of hypersurfaces SpringerLink Home Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg Article Published: December 1996 Hodge numbers of hypersurfaces A. Dimca Abhandlungen aus dem Mathematischen …
Hodge numbers of hypersurfaces
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NettetII - Limit mixed Hodge structure on the vanishing cohomology of an isolated hypersurface singularity. pp 60-138. Get access. Export citation. III - The period map of a µ-const … Nettetfor Hodge numbers of big resolutions of such hypersurfaces. We compute Hodge numbers of Calabi-Yau manifolds obtained as small resolutions of cuspidal triple …
Nettet3 Hypersurfaces in projective space over number fields This section presents Hassett-Tschinkel’s method of producing counterexamples to the integral Hodge conjecture for hypersurfaces in P4 over number fields [6, Re-marque 5.10]. We formulate the method as the following generalization of Koll´ar’s Nettet2. The Hodge decomposition 4 3. Hodge numbers in smooth families 6 4. Birationally invariant Hodge numbers 7 5. The topological approach to the Kodaira vanishing theorem 9 References 12 In this chapter we will review a number of fundamental facts on the topology of smooth complex projective varieties, and the Hodge decomposition of their ...
Nettet11. apr. 2014 · We specialize to the case of families of schön complex hypersurfaces of tori where we provide explicit formulas describing the action of the unipotent part of … Nettet1. nov. 2011 · We express the difference between the Hodge polynomials of the singular and resp. generic member of a pencil of hypersurfaces in a projective manifold by …
NettetTheories 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 …
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, … crossgates family doctors brandon msNettetHodge Numbers of Hypersurfaces By A. DIMCA 0 Introduction Let V be a hypersurface in the complex projective space ~n+l. When V is smooth, the only nontrivial primitive … buhari healthNettetII - Limit mixed Hodge structure on the vanishing cohomology of an isolated hypersurface singularity. pp 60-138. Get access. Export citation. III - The period map of a µ-const deformation of an isolated hypersurface singularity associated with Brieskorn lattices and MHSs. pp 139-180. buhari electionNettet5. 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 … buhari education careerNettet14. 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 … buhari family limited partnershipNettet1. 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 ... crossgates fc twitterNettetHodge 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 buhari health update