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math.AG2025
K-polystability of Fano 4-folds with large Lefschetz defect
Eleonora A. Romano, Saverio A. Secci
In this paper, we investigate K-polystability on smooth complex Fano 4-folds with Lefschetz defect at least 2, focusing on the case of Lefschetz defect 3 and on Casagrande-Druel Fa…
math.AG2025
Chow quotients of -actions
Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1
Given an action of the one-dimensional torus on a projective variety, the associated Chow quotient arises as a natural parameter space of invariant -cycles, which dominates the…
math.AG2025
Mori Dream Bonds and -actions
Lorenzo Barban, Eleonora A. Romano, Luis E. Solá Conde +1
We construct a correspondence between Mori dream regions arising from small modifications of normal projective varieties and -actions on polarized pairs which are bor…