89 citations · 858 across the 57 of their papers we have counts for
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Chern classes for singular hypersurfaces
Paolo Aluffi
We prove a simple formula for MacPherson's Chern class of hypersurfaces in nonsingular varieties. The result highlights the relation between MacPherson's class and other definition…
A blow-up construction and graph coloring
Paolo Aluffi
Given a graph G (or more generally a matroid embedded in a projective space), we construct a sequence of varieties whose geometry encodes combinatorial information about G. For exa…
Linear orbits of smooth plane curves
Paolo Aluffi, Carel Faber
The group PGL(3) of linear transformations of the projective plane acts naturally on the projective space parametrizing curves of a given degree. In this note we begin the study of…
Linear orbits of d-tuples of points in P^1
Paolo Aluffi, Carel Faber
The group PGL(2) of linear transformations of the projective line acts naturally on the d-dimensional projective space P^d parametrizing configurations (`d-tuples') of points on th…