The Gysin map is compatible with mixed Hodge structures
We prove that the Gysin map is compatible with mixed Hodge Structures.
math.AG↗
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Publications and source records attributed to Mark A. de Cataldo.
We prove that the Gysin map is compatible with mixed Hodge Structures.
This is a written-up version of eight introductory lectures to the Hodge theory of projective manifolds. The table of contents should be self-explanatory. The only exception is section 8 where I discuss, in a simple example, a technique for studying the class map for homology classes on the fibers of a map and one for approximating a certain kind of primitive vectors.