28 citations · 208 across the 40 of their papers we have counts for
45 papers
A two-step approach to Chow quotients
Luis E. Solá Conde, Gianluca Occhetta
The Chow quotient of a projective variety by the action of a complex torus is known to have a very complicated geometry, even in the case of simple varieties, such as rational homo…
Quotients of flag varieties and their birational geometry
Lorenzo Barban, Gianluca Occhetta, Luis E. Solá Conde
We compute the Chow quotient of the complete flag variety of subspaces of a four dimensional complex vector space, show that it is smooth and a Mori Dream Space, and describe in de…
Constructing geometric realizations of birational maps between Mori Dream Spaces
Lorenzo Barban, Gianluca Occhetta, Luis E. Sol á Conde
We construct geometric realizations -- projective algebraic versions of cobordisms -- for birational maps between Mori Dream Spaces. We show that these geometric realizations are M…
Chow quotients of -actions on convex varieties
Gianluca Occhetta, Luis E. Solá Conde
In this paper we study the Chow quotient of a convex variety of Picard number one by the action of a one dimensional torus having no non-trivial finite isotropy…
Characterizing rational homogeneous spaces via -actions
Gianluca Occhetta, Luis E. Solá Conde
We study smooth varieties of Picard number one admitting a special dominating family of rational curves and an equalized -action. In particular we show that is a…
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…