5 papers
Automorphism groups of toroidal horospherical varieties
Lorenzo Barban, DongSeon Hwang, Minseong Kwon
We establish a structure theorem for the connected automorphism groups of smooth complete toroidal horospherical varieties, that is, toric fibrations over rational homogeneous spac…
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…
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…
Toric non-equalized flips associated to -actions
Lorenzo Barban, Eleonora A. Romano
Starting from -actions on complex projective varieties, we construct and investigate birational maps among the corresponding extremal fixed point components. We study…