From the 1 of 4 linked papers with an AI index.
4 papers
Quotients of flag varieties and their birational geometry
Lorenzo Barban, Gianluca Occhetta, Luis E. Solá Conde
The paper computes the Chow quotient of the complete flag variety of subspaces in a four‑dimensional complex vector space, proves it is smooth and a Mori Dream Space, and analyzes…
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…
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…