Selected titles in This Series

T HEOREM 2.2.3 (Hodge–Lefschetz for Intersection Cohomology).. – The Hodge–Lefschetz Theorem 2.2.3 is due to several authors. The Weak Lefschetz Theorem is due to Goresky and

À partir d’un tore complexe non projectif, on construit une variété kählérienne compacte X qui n’a pas l’anneau de cohomologie rationnelle d’une variété projective lisse..

In this paper, we use the more elementary theory of homological units (see [Abu17]) in order to dene and compute Hodge numbers for smooth proper C-linear triangulated categories

We now have the right definition: this involves the fundamental curve of p- adic Hodge theory and vector bundles on it.. In the course I will explain the construction and

It starts with an introduction to complex manifolds and the objects naturally attached to them (differential forms, cohomology theo- ries, connections...). In Section 2 we will

3. The set of global sections of a complex or holomorphic vector bundle has a natural C -vector space structure given by adding fibrewise. local holomorphic frame).. Show that we have

The theory of variation of Hodge Structure (VHS) adds to the local system the Hodge structures on the cohomology of the fibers, and transforms geometric prob- lems concerning

Another important property satisfied by the cohomology algebra of a compact K¨ ahler manifold X is the fact that the Hodge structure on it can be polarized using a K¨ ahler class ω ∈