89 citations · 858 across the 57 of their papers we have counts for
4 papers · 1 filter
The Segre zeta function of an ideal
Paolo Aluffi
We define a power series associated with a homogeneous ideal in a polynomial ring, encoding information on the Segre classes defined by extensions of the ideal in projective spaces…
Tensored Segre classes
Paolo Aluffi
We study a class obtained from the Segre class of an embedding of schemes by incorporating the datum of a line bundle on . This class satisfies basic properties analogo…
How many hypersurfaces does it take to cut out a Segre class?
Paolo Aluffi
We prove an identity of Segre classes for zero-schemes of compatible sections of two vector bundles. Applications include bounds on the number of equations needed to cut out a sche…
Projective duality and a Chern-Mather involution
Paolo Aluffi
We observe that linear relations among Chern-Mather classes of projective varieties are preserved by projective duality. We deduce the existence of an explicit involution on a part…