8 citations · 36 across the 16 of their papers we have counts for
19 papers
-designs admitting a flag-transitive automorphism group with socle
Hongxue Liang, Mario Galici, Zhihui Liu +3
-designs admitting a flag-transitive automorphism group with socle , where , are investigated in both the point-primitive and point-imprimitive case…
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…
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…
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…
Geometric realizations of birational transformations via -actions
Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1
In this paper we study varieties admitting torus actions as geometric realizations of birational transformations. We present an explicit construction of these geometric realization…
Fano manifolds with Lefschetz defect 3
C. Casagrande, E. A. Romano, S. A. Secci
Let X be a smooth, complex Fano variety, and delta(X) its Lefschetz defect. It is known that if delta(X) is at least 4, then X is isomorphic to a product SxT, where dim T=dim X-2.…
Rational homogeneous spaces as geometric realizations of birational transformations
Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1
A geometric realization of a birational map among two complex projective varieties is a variety endowed with a -action inducing as the natural birational…
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…
Small modifications of Mori dream spaces arising from -actions
Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1
We link small modifications of projective varieties with a -action to their GIT quotients. Namely, using flips with centers in closures of Białynicki-Birula cells, w…
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…
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…
Manifolds with two projective bundle structures
Gianluca Occhetta, Luis E. Solá Conde, Eleonora A. Romano
In this paper we classify varieties of Picard number two having two projective bundle structures of any relative dimension, under the assumption that these structures are mutually…
Small bandwidth -actions and birational geometry
Gianluca Occhetta, Eleonora A. Romano, Luis E. Solá Conde +1
In this paper we study smooth projective varieties and polarized pairs with an action of a one dimensional complex torus. As a main tool, we define birational geometric counterpart…
On some Fano 4-folds with Lefschetz defect 3
Eleonora Anna Romano
We show that Fano 4-folds with Picard number 5 have Lefschetz defect 3 if and only if they are toric of combinatorial type K. We also find a characterization for such varieties in…
A note on flatness of some fiber type contractions
Eleonora Anna Romano
We discuss the flatness property of some fiber type contractions of complex smooth projective varieties of arbitrary dimensions. We relate the flatness of some morphisms having one…
Adjunction for varieties with a action
Eleonora A. Romano, Jarosław A. Wiśniewski
Let be a complex projective manifold, an ample line bundle on , and assume that we have a action on . We classify such triples …
A characterization of some Fano 4-folds through conic fibrations
Pedro Montero, Eleonora Anna Romano
We find a characterization for Fano 4-folds with Lefschetz defect : besides the product of two del Pezzo surfaces, they correspond to varieties admitting a conic bundl…
Positivity of anticanonical divisors from the viewpoint of Fano conic bundles
Eleonora Anna Romano
We give the first examples of flat fiber type contractions of Fano manifolds onto varieties that are not weak Fano, and we prove that these morphisms are Fano conic bundles. We als…
Non-elementary Fano conic bundles
Eleonora Anna Romano
We study a particular kind of fiber type contractions between complex, projective, smooth varieties f:X->Y, called Fano conic bundles. This means that X is a Fano variety, and ever…