WebJul 21, 2014 · This book provides a comprehensive and up-to-date introduction to Hodge theory—one of the central and most vibrant areas of contemporary mathematics—from … WebThis paper investigates the Hodge theory of proper algebraic maps f: X → Y of complex algebraic varieties and its topological implications. The key case is when X and Y are …
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WebMy current research focus is Hodge theory. Hodge theory associates to a family (or moduli space) of algebraic varieties a variation of Hodge structure, a.k.a. a period map. Period maps are powerful tools in the study of moduli spaces. The analysis of period maps involves both the geometry of the period domain (including curvature properties and ... WebAug 6, 2024 · Overview. Hodge theory is the study of properties of (complex, rational and integer) cohomology (and motives) of Kähler manifolds, induced by a Hodge filtration – given in the classical situation by harmonic differential forms – and the corresponding Hodge theorem.Hodge theory also applies in combinatorics, for instance to matroids ().. … manually manage music iphone
The Hodge theory of algebraic maps - ScienceDirect
Webwhere [L]K is the K-theory signature of L. Extensions of Meyer’s formula to the singular setting were studied in [2] by means of intersection homology theory. In complex algebraic geometry, (twisted) signatures are just special cases of more general Hodge-type invariants. The purpose of this note is to announce Hodge the- WebHodge Theory of Maps Migliorini and de Cataldo June 24, 2010 1 Migliorini 1 - Hodge Theory of Maps The existence of a K ahler form give strong topological constraints via Hodge … WebThis map records, for each configuration B⊂ Cand for q= ζ−k d, the line in H 1(X)q ∼= Cr,s spanned by the holomorphic 1-form [dx/yk]. It is defined so long as 1/n kpdsb school cash online