10 citations · 57 across the 20 of their papers we have counts for
20 papers
Classification of equivariantly normal curves via Altmann-Hausen-Süss theory
Gary Martínez-Núnez, Ronan Terpereau
Let the ground field be perfect of positive characteristic. Using Altmann-Hausen-Süss theory, we obtain a combinatorial classification of equivariantly normal curves with prescribe…
Horospherical subgroups in positive characteristic
Matilde Maccan, Ronan Terpereau
We investigate horospherical homogeneous spaces--a class of spherical homogeneous spaces encompassing both flag varieties and algebraic tori--over algebraically closed fields of ch…
Equivariant automorphism group and real forms of complexity-one varieties
Giancarlo Lucchini Arteche, Ronan Terpereau
Let be a connected reductive real algebraic group. We prove that every real -variety of complexity one admits only finitely many pairwise non-isomorphic -for…
Real forms of Mori fiber spaces with many symmetries
Ronan Terpereau, Susanna Zimmermann
We determine the rational real forms of the complex Mori fiber spaces for which the identity component of the automorphism group is a maximal connected algebraic subgroup of $\math…
Real structures on complex algebraic varieties with a reductive group action
Ronan Terpereau
This is a survey article devoted to the study of real structures on complex algebraic varieties endowed with a reductive group action.
Real structures on nilpotent orbit closures
Michael Bulois, Lucy Moser-Jauslin, Ronan Terpereau
We determine the equivariant real structures on nilpotent orbits and the normalizations of their closures for the adjoint action of a complex semisimple algebraic group on its Lie…
Forms of almost homogeneous varieties over perfect fields
Lucy Moser-Jauslin, Ronan Terpereau
We study the k-forms of almost homogeneous varieties over perfect base fields k. First, we discuss criteria for the existence of k-forms in the homogeneous case. Then, we extend th…
Connected algebraic groups acting on three-dimensional Mori fibrations
Jérémy Blanc, Andrea Fanelli, Ronan Terpereau
We study the connected algebraic groups acting on Mori fibrations with a rational threefold and . More precisely, for these fibre spaces we co…
Real structures on symmetric spaces
Lucy Moser-Jauslin, Ronan Terpereau
We obtain a necessary and sufficient condition for the existence of equivariant real structures on complex symmetric spaces for semisimple groups and discuss how to determine the n…
Real structures on horospherical varieties
Lucy Moser-Jauslin, Ronan Terpereau, Mikhail Borovoi
We study the equivariant real structures on complex horospherical varieties, generalizing classical results known for toric varieties and flag varieties. In particular, we obtain a…
Automorphisms of -bundles over rational surfaces
Jérémy Blanc, Andrea Fanelli, Ronan Terpereau
In this paper we provide the complete classification of -bundles over smooth projective rational surfaces whose neutral component of the automorphism group is maximal…
Horospherical stacks
Ariyan Javanpeykar, Kevin Langlois, Ronan Terpereau
We prove structure theorems for algebraic stacks with a reductive group action and a dense open substack isomorphic to a horospherical homogeneous space, and thereby obtain new exa…
Towards a symplectic version of the Chevalley restriction theorem
Michael Bulois, Christian Lehn, Manfred Lehn +1
If is a polar representation with Cartan subspace and Weyl group , it is shown that there is a natural morphism of Poisson schemes $\mathfrak c \oplus {\ma…
The Cox ring of a complexity-one horospherical variety
Kevin Langlois, Ronan Terpereau
Cox rings are intrinsic objects naturally generalizing homogeneous coordinate rings of projective spaces. A complexity-one horospherical variety is a normal variety equipped with a…
Stability conditions and related filtrations for -constellations
Ronan Terpereau, Alfonso Zamora
Given an infinite reductive algebraic group , we consider -equivariant coherent sheaves with prescribed multiplicities, called -constellations, for which two stability…
On the geometry of normal horospherical G-varieties of complexity one
Kevin Langlois, Ronan Terpereau
Let G be a connected simply-connected reductive algebraic group. In this article, we consider the normal algebraic varieties equipped with a horospherical G-action such that the qu…
Invariant deformation theory of affine schemes with reductive group action
Christian Lehn, Ronan Terpereau
We develop an invariant deformation theory, in a form accessible to practice, for affine schemes equipped with an action of a reductive algebraic group . Given the defining…
Invariant Hilbert schemes and desingularizations of symplectic reductions for classical groups
Ronan Terpereau
Let be a reductive algebraic subgroup acting on the symplectic vector space , and let be the correspondi…
Invariant Hilbert schemes and desingularizations of quotients by classical groups
Ronan Terpereau
Let be a finite-dimensional representation of a reductive algebraic group . The invariant Hilbert scheme is a moduli space that classifies the -stable close…
Moduli spaces of (G,h)-constellations
Tanja Becker, Ronan Terpereau
Given an infinite reductive group G acting on an affine scheme X over C and a Hilbert function h: Irr G \to N_0, we construct the moduli space M_θ(X) of θ-stable (G,h)-constellatio…