89 citations · 858 across the 57 of their papers we have counts for
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Log canonical threshold, Segre classes, and polygamma functions
Paolo Aluffi
We express the Segre class of a monomial scheme in projective space in terms of log canonical thresholds of associated ideals. Explicit instances of the relation amount to identiti…
Multidegrees of monomial rational maps
Paolo Aluffi
We prove a formula for the multidegrees of a rational map defined by generalized monomials on a projective variety, in terms of integrals over an associated Newton region. This for…
Segre classes as integrals over polytopes
Paolo Aluffi
We express the Segre class of a monomial scheme -- or, more generally, a scheme monomially supported on a set of divisors cutting out complete intersections -- in terms of an integ…
Segre classes of monomial schemes
Paolo Aluffi
We propose an explicit formula for the Segre classes of monomial subschemes of nonsingular varieties, such as schemes defined by monomial ideals in projective space. The Segre clas…