Fouad Elzein

activity

19992013

most citedDeligne-Hodge-DeRham theory with coefficients

2 citations · 4 across the 5 of their papers we have counts for

collaborators

6 papers

math.AG2013

De la Pureté locale à la décomposition

Fouad Elzein, Lê Dung Trang

The decomposition theorem is deduced from local purity.

math.AG2013★ 2 cited

Variation Of Mixed Hodge Structures

Patrick Brosnan, Fouad Elzein

Variation of mixed Hodge structures(VMHS), introduced by P. Deligne, is a linear structure reflecting the geometry on cohomology of the fibers of an algebraic family, generalizing…

math.AG2013

Mixed Hodge Structures

Fouad Elzein, Lê Dung Trang

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 algebrai…

math.AG2007★ 2 cited

Deligne-Hodge-DeRham theory with coefficients

Fouad Elzein

Let $L$ be a variation of Hodge structures on the complement $X^{*}$ of a normal crossing divisor (NCD) $Y$ in a smooth analytic variety $X$ and let $ j: X^{*} = X - Y \to…

math.AG2003

Hodge-DeRham theory with degenerating coefficients

Fouad ElZein

Let $L$ be a local system on the complement $X^{⋆}$ of a normal crossing divisor (NCD) $Y$ in a smooth analytic variety $X$ and let $j : X^{⋆} = X - Y \to X$ denot…

math.AG1999

Topology of algebraic varieties

Fouad Elzein, András Némethi

Let Y be a normal crossing divisor in the smooth projective algebraic variety X (defined over $C$ ) and let U be a tubular neighbourhood of Y in X. We construct homologica…