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math.AG2020
Classification of Fano 4-folds with Lefschetz defect 3 and Picard number 5
Cinzia Casagrande, Eleonora A. Romano
Let X be a smooth, complex Fano 4-fold, and rho(X) its Picard number. If X contains a prime divisor D with rho(X)-rho(D)>2, then either X is a product of del Pezzo surfaces, or rho…
math.AG2020
High rank torus actions on contact manifolds
Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1
We prove LeBrun--Salamon conjecture in the following situation: if is a contact Fano manifold of dimension whose group of automorphisms is reductive of rank $\geq \max(2…