Zobrazeno 1 - 10
of 264
pro vyhledávání: '"Aluffi, Paolo"'
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 equivalent to the Poincar\'e polynomial; it implies explicit expressions for th
Externí odkaz:
http://arxiv.org/abs/2406.13095
Using a known recursive formula for the Grothendieck classes of the moduli spaces $\overline{\mathcal M}_{0,n}$, we prove that they satisfy an asymptotic form of ultra-log-concavity as polynomials in the Lefschetz class. We also observe that these po
Externí odkaz:
http://arxiv.org/abs/2402.02646
Autor:
Aluffi, Paolo
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 relation between these covolume polynomials and Lorentzian polynomials
Externí odkaz:
http://arxiv.org/abs/2304.02043
The equivariant motivic Chern class of a Schubert cell in a `complete' flag manifold $X=G/B$ is an element in the equivariant K theory ring of $X$ to which one adjoins a formal parameter $y$. In this paper we prove several `folklore results' about th
Externí odkaz:
http://arxiv.org/abs/2212.12509
Autor:
Aluffi, Paolo
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 classes to the definition and study of invariants of singular spaces. We w
Externí odkaz:
http://arxiv.org/abs/2109.05061
Autor:
Aluffi, Paolo
Publikováno v:
In Advances in Mathematics February 2024 437