D. Franco

activity

19932023

most citedNéron-Severi group of a general hypersurface

8 citations · 45 across the 31 of their papers we have counts for

collaborators

36 papers

math.AG2023

A footnote to a paper of Deodhar

Davide Franco

Let $X\subseteq G\slash B$ be a Schubert variety in a flag manifold and let $π : X ~ \to X$ be a Bott-Samelson resolution of $X$ . In this paper we prove an effective ve…

math.AG2022

Nilpotent cone and bivariant theory

Vincenzo Di Gennaro, Davide Franco, Carmine Sessa

We exhibit a new proof, relying on bivariant theory, that the nilpotent cone is rationally smooth. Our approach enables us to prove a slightly more general statement.

math.AG2022

An effective decomposition theorem for Schubert varieties

Francesca Cioffi, Davide Franco, Carmine Sessa

Given a Schubert variety $S$ contained in a Grassmannian $G_{k} (C^{l})$ , we show how to obtain further information on the direct summands of the derived…

math.AG2021

Bivariant class of degree one

Vincenzo Di Gennaro, Davide Franco, Carmine Sessa

Let $f : X \to Y$ be a projective birational morphism, between complex quasi-projective varieties. Fix a bivariant class $θ\in H^0(X\stackrel{f}\to Y)\cong Hom_{D^{b}_{c}(Y)}(Rf_*\mat…

math.AG2020

Intersection cohomology and Severi's varieties

Vincenzo Di Gennaro, Davide Franco

Let $X^{2 n} \subseteq P^{N}$ be a smooth projective variety. Consider the intersection cohomology complex of the local system $R^{2 n - 1} π_{*} Q$ , where $π$ denotes th…

math.AG2020

Polynomial identities related to Special Schubert varieties

Francesca Cioffi, Davide Franco, Carmine Sessa

Let $S$ be a single condition Schubert variety with an arbitrary number of strata. Recently, an explicit description of the summands involved in the decomposition theorem…