4 citations · 7 across the 5 of their papers we have counts for
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On Huh's conjectures for the polar degree
Dirk Siersma, Joseph Steenbrink, Mihai Tibar
We prove a precise version of a general conjecture on the polar degree stated by June Huh. We confirm Huh's conjectural list of all projective hypersurfaces with isolated singulari…
Motivic Milnor fibre for nondegenerate function germs on toric singularities
J. H. M. Steenbrink
We study function germs on toric varieties which are nondegenerate for their Newton diagram. We express their motivic Milnor fibre in terms of their Newton diagram. We extend a for…
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…
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…
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,…