89 citations · 858 across the 57 of their papers we have counts for
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Computing characteristic classes of projective schemes
Paolo Aluffi
We discuss an algorithm computing the push-forward to projective space of several classes associated to a (possibly singular, reducible, nonreduced) projective scheme. For example,…
Inclusion-exclusion and Segre classes, II
Paolo Aluffi
Considerations based on the known relation between different characteristic classes for singular hypersufaces suggest that a form of the `inclusion-exclusion' principle may hold fo…
Inclusion-exclusion and Segre classes
Paolo Aluffi
We propose a variation of the notion of Segre class, by forcing a naive `inclusion-exclusion' principle to hold. The resulting class is computationally tractable, and is closely re…
Shadows of blow-up algebras
Paolo Aluffi
We study different notions of blow-up of a scheme X along a subscheme Y, depending on the datum of an embedding of X into an ambient scheme. The two extremes in this theory are the…