28 citations · 127 across the 21 of their papers we have counts for
23 papers
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…
Maximal disjoint Schubert cycles in rational homogeneous varieties
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde
In this paper we study properties of the Chow ring of rational homogeneous varieties of classical type, more concretely, effective zero divisors of low codimension, and a related i…
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…
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…
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…
Nestings of rational homogeneous varieties
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde
In this paper we study the existence of sections of universal bundles on rational homogeneous varieties -- called nestings -- classifying them completely in the case in which the L…
Deformation of Bott-Samelson varieties and variations of isotropy structures
Gianluca Occhetta, Luis E. Solá Conde
In the framework of the problem of characterizing complete flag manifolds by their contractions, the complete flags of type and satisfy the property that any possible t…
Splitting conjectures for uniform flag bundles
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde
We present here some conjectures on the diagonalizability of uniform principal bundles on rational homogeneous spaces, that are natural extensions of classical theorems on uniform…
On uniform flag bundles on Fano manifolds
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde
As a natural extension of the theory of uniform vector bundles on Fano manifolds, we consider uniform principal bundles, and study them by means of the associated flag bundles, as…
A Characterization of Symplectic Grassmannians
Gianluca Occhetta, Luis E. Solá Conde, Kiwamu Watanabe
We provide a characterization of Symplectic Grassmannians in terms of their Varieties of Minimal Rational Tangents.
Flag bundles on Fano manifolds
Gianluca Occhetta, Luis E. Solá Conde, Jarosław A. Wiśniewski
As an application of a recent characterization of complete flag manifolds as Fano manifolds having only -bundles as elementary contractions, we consider here the cas…
Uniform families of minimal rational curves on Fano manifolds
Gianluca Occhetta, Luis E. Solá Conde, Kiwamu Watanabe
It is a well-known fact that families of minimal rational curves on rational homogeneous manifolds of Picard number one are uniform, in the sense that the tangent bundle to the man…
A survey on the Campana-Peternell Conjecture
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde +2
In 1991 Campana and Peternell proposed, as a natural algebro-geometric extension of Mori's characterization of the projective space, the problem of classifying the complex projecti…
Fano manifolds whose elementary contractions are smooth -fibrations: A geometric characterization of flag varieties
Gianluca Occhetta, Luis E. Solá Conde, Kiwamu Watanabe +1
The present paper provides a geometric characterization of complete flag varieties for semisimple algebraic groups. Namely, if is a Fano manifold whose all elementary contracti…
Rational curves, Dynkin diagrams and Fano manifolds with nef tangent bundle
Roberto Muñoz, Gianluca Occhetta, Luis Eduardo Solá Conde +1
A Fano manifold with nef tangent bundle is of flag-type if it has the same type of elementary contractions as a complete flag manifold. In this paper we present a method to ass…
A classification theorem on Fano bundles
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde
In this paper we classify rank two Fano bundles $\cE$ on Fano manifolds satisfying . The classification is obtained via the computation of the nef…
Rank two Fano bundles on G(1,4)
Roberto Muñoz, Gianluca Occhetta, Luis E. Solá Conde
We classify rank two Fano bundles over the Grassmannian of lines $\G(1,4)$. In particular we show that the only non-split rank two Fano bundle over $\G(1,4)$ is, up to a twist, the…
On rank 2 vector bundles on Fano manifolds
Roberto Muñoz, Gianluca Occhetta, Luis Solá Conde
In this work we deal with vector bundles of rank two on a Fano manifold with . We study the nef and pseudoeffective cones of the corresponding projectivizations and…
An extension of Fujita's non extendability theorem for Grassmannians
Roberto Munoz, Gianluca Occhetta, Luis E. Sola Conde
In this paper we study smooth complex projective varieties containing a Grassmannian of lines which appears as the zero locus of a section of a rank two nef vector bun…
Holomorphic Engel Structures
Francisco Presas, Luis Eduardo Sola Conde
Recently there has been renewed interest among differential geometers in the theory of Engel structures. We introduce holomorphic analogues of these structures, and pose the proble…
Varieties swept out by grassmannians of lines
Roberto Munoz, Luis E. Sola Conde
We classify complex projective varieties of dimension swept out by a family of codimension two grassmannians of lines . They are either fibrations onto…