39 citations · 138 across the 12 of their papers we have counts for
14 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…
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…
Maximum likelihood degree, complete quadrics and -action
Mateusz Michałek, Leonid Monin, Jarosław Wiśniewski
We study the maximum likelihood (ML) degree of linear concentration models in algebraic statistics. We relate it to an intersection problem on the variety of complete quadrics. Thi…
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 …
Algebraic torus actions on contact manifolds
Jarosław Buczyński, Jarosław A. Wiśniewski, Andrzej Weber
We prove the LeBrun-Salamon Conjecture in low dimensions. More precisely, we show that a contact Fano manifold X of dimension 2n+1 that has reductive automorphism group of rank at…
On rigidity of flag varieties
Andrzej Weber, Jarosław A. Wiśniewski
We prove that the variety of complete flags for any semisimple algebraic group is rigid in any smooth family of Fano manifolds.
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…
A very special EPW sextic and two IHS fourfolds
Maria Donten-Bury, Bert van Geemen, Grzegorz Kapustka +2
We show that the Hilbert scheme of two points on the Vinberg surface has a 2:1 map onto a very symmetric EPW sextic in . The fourfold is singular along $…
On 81 symplectic resolutions of a 4-dimensional quotient by a group of order 32
Maria Donten-Bury, Jarosław A. Wiśniewski
We provide a construction of 81 symplectic resolutions of a 4-dimensional quotient singularity obtained by an action of a group of order 32. The existence of such resolutions is kn…
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…
A view on contractions of higher dimensional varieties
Marco Andreatta, Jaroslaw A. Wiśniewski
In this paper we discuss some recent results about extremal contractions of complex algebraic varieties. These are proper surjective maps, , of normal variet…
On Contractions of smooth varieties
Marco Andreatta, Jarosław A. Wiśniewski
Let $\f: X \ra Z$ be a proper surjective map from a smooth complex manifold onto a normal variety . If $\f$ has connected fibers and is $\f$-ample then $\f$ is called…
A note on non-vanishing and applications
Marco Andreatta, Jarosław A. Wiśniewski
Let be a normal variety over the field of complex numbers with log terminal singularities and the canonical divisor being -Gorenstein. Assume that is an ampl…