15 citations · 57 across the 15 of their papers we have counts for
15 papers
Logarithmic Comparison Theorems
Francisco-Jesús Castro-Jiménez, David Mond, Luis Narváez-Macarro
In this paper we study the comparison between the logarithmic and the meromorphic de Rham complexes along a divisor in a complex manifold. We focus on the case of free divisors, st…
Multiple points of a simplicial map and image-computing spectral sequences
José Luis Cisneros-Molina, David Mond
The Image-Computing Spectral Sequence computes the homology of the image of a finite map from the alternating homology of the multiple point spaces of the map. A related spectral s…
Logarithmic vector fields and the Severi strata in the discriminant
Paul Cadman, David Mond, Duco van Straten
The discriminant, , in the base of a miniversal deformation of an irreducible plane curve singularity, is partitioned according to the genus of the (singular) fibre, or, equival…
Disentanglements of corank 2 map-germs: two examples
David Mond
We compute the homology of the multiple point spaces of stable perturbations of two germs of corank 2, one with and one with .…
Free resolutions for multiple point spaces
Ayse Altintas, David Mond
Let f be a map-germ of corank 1 from complex n-space to complex (n+1)-space, and, for k less than or equal to the multiplicity of f, let be its k'th multiple-point scheme…
Partial normalizations of Coxeter arrangements and discriminants
Michel Granger, David Mond, Mathias Schulze
We study natural partial normalization spaces of Coxeter arrangements and discriminants and relate their geometry to representation theory. The underlying ring structures arise fro…