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math.AG2005
Hodge number polynomials for nearby and vanishing cohomology
C. A. M. Peters, J. H. M. Steenbrink
We recall the construction of the Hodge character and we show, using a result due to F. Bittner, that these can be constructed using classical pure Hodge theory only, sideskipping…
math.AG2004★ 1 cited
Adjunction conditions for 1-forms on surfaces in projective three-space
Joseph Steenbrink
We study the relation between a certain graded part of the Jacobian ring of a projective hypersurface and a certain graded quotient for the Hodge filtration of its primitive cohomo…
math.AG1999
Cup products and mixed Hodge structures
J. H. M. Steenbrink
Let X be a complete complex nonsingular algebraic variety and D a closed algebraic subset of X. We show that the cup product maps H^i(X \setminus D) \otimes H^j(X,D) \to H^{i+j}(X,…