Mixed hodge structures

Fouad Elzein (1) , Le Dung Trang (2)

1 IMJ - Institut de Mathématiques de Jussieu
2 I2M - Institut de Mathématiques de Marseille

With a basic knowledge of cohomology theory, the background necessary to understand Hodge theory and polarization, Deligne's mixed Hodge structure on cohomology of complex algebraic varieties is described.

Mots clés: Filtrations; Derived category; Mixed Hodge structures; Hodge Theory

Domaines: Géométrie algébrique [math.AG]; Algèbre commutative [math.AC]; Variables complexes [math.CV]

Fouad Elzein, Le Dung Trang. Mixed hodge structures. E. Cattani, F. Elzein, D.T. Lê, P. Griffiths. Hodge theory, Math. Notes (49), Princeton University Press, 2014, Hodge theory. ⟨hal-01271554⟩