The aim of this work is to develop the program proposed by S. Bloch, L. Barbieri-Viale and V. Srinivas of generalizing Deligne mixed Hodge structures providing a new cohomology theory for complex algebraic varieties. In other words to construct and study cohomological invariants, of (proper) complex algebraic schemes, which are finer than the associated mixed Hodge structures in the case of singular spaces.
Formal Hodge Structures / N. Mazzari ; L. Barbieri Viale, A. Lorenzi. DIPARTIMENTO DI MATEMATICA, 2009 Feb 11. 21. ciclo, Anno Accademico 2008/2009. [10.13130/mazzari-nicola_phd2009-02-11].
Formal Hodge Structures
N. Mazzari
2009
Abstract
The aim of this work is to develop the program proposed by S. Bloch, L. Barbieri-Viale and V. Srinivas of generalizing Deligne mixed Hodge structures providing a new cohomology theory for complex algebraic varieties. In other words to construct and study cohomological invariants, of (proper) complex algebraic schemes, which are finer than the associated mixed Hodge structures in the case of singular spaces.
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