89 citations · 858 across the 57 of their papers we have counts for
60 papers
Trim resolutions, stringy and Mather classes, and IC characteristic cycles
Paolo Aluffi
We introduce trim resolutions of complex algebraic varieties, a strengthening of the notion of small resolution. We prove that the characteristic cycle of the intersection cohomolo…
Explicit formulas for the Grothendieck class of
Paolo Aluffi, Matilde Marcolli, Eduardo Nascimento
We obtain explicit expressions for the class in the Grothendieck group of varieties of the moduli space of genus 0 stable curves with n marked points. This information is equivalen…
Log concavity of the Grothendieck class of
Paolo Aluffi, Stephanie Chen, Matilde Marcolli
Using a known recursive formula for the Grothendieck classes of the moduli spaces , we prove that they satisfy an asymptotic form of ultra-log-concavit…
Lorentzian polynomials, Segre classes, and adjoint polynomials of convex polyhedral cones
Paolo Aluffi
We consider polynomials expressing the cohomology classes of subvarieties of products of projective spaces, and limits of positive real multiples of such polynomials. We study the…
From motivic Chern classes of Schubert cells to their Hirzebruch and CSM classes
Paolo Aluffi, Leonardo C. Mihalcea, Jörg Schürmann +1
The equivariant motivic Chern class of a Schubert cell in a `complete' flag manifold is an element in the equivariant K theory ring of to which one adjoins a formal par…
Segre classes and invariants of singular varieties
Paolo Aluffi
Segre classes encode essential intersection-theoretic information concerning vector bundles and embeddings of schemes. In this paper we survey a range of applications of Segre clas…