3 papers
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.AG2021
Bivariant class of degree one
Vincenzo Di Gennaro, Davide Franco, Carmine Sessa
Let 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.AG2019
A remark on the genus of curves in
Vincenzo Di Gennaro
Let be an irreducible, reduced, non-degenerate curve, of arithmetic genus and degree , in the projective space over the complex field. Assume that sati…