5 citations · 16 across the 8 of their papers we have counts for
11 papers
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…
Isomorphisms between cylinders over Danielewski surfaces
Lucy Moser-Jauslin, Pierre-Marie Poloni
A special Danielewski surface is an affine surface which is the total space of a principal -bundle over an affine line with a multiple origin. Using a fiber product…
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…
Algebraic vector bundles on the 2-sphere and smooth rational varieties with infinitely many real forms
Adrien Dubouloz, Gene Freudenburg, Lucy Moser-Jauslin
We construct smooth rational real algebraic varieties of every dimension 4 which admit infinitely many pairwise non-isomorphic real forms.
Infinite families of inequivalent real circle actions on affine four-space
Lucy Moser-Jauslin
The main result of this article is to construct infinite families of non-equivalent equivariant real forms of linear C*-actions on affine four-space. We consider the real form of C…
Automorphism groups of certain rational hypersurfaces in complex four-space
Adrien Dubouloz, Lucy Moser-Jauslin, Pierre-Marie Poloni
The Russell cubic is a smooth contractible affine complex threefold which is not isomorphic to affine three-space. In previous articles, we discussed the structure of the automorph…
Non cancellation for smooth contractible affine threefolds
Adrien Dubouloz, Lucy Moser-Jauslin, Pierre-Marie Poloni
We construct two non isomorphic contractible affine threefolds X and Y with isomorphic cylinders, showing that the generalized Cancellation Problem has a negative answer in general…
Automorphism groups of Koras-Russell threefolds of the first kind
Lucy Moser-Jauslin
Koras-Russell threefolds are certain smooth contractible complex hypersurfaces in affine complex four-space which are not algebraically isomorphic to affine three-space. One of the…
Inequivalent embeddings of the Koras-Russell cubic threefold
Adrien Dubouloz, Lucy Moser-Jauslin, Pierre-Marie Poloni
The Koras-Russell threefold is the hypersurface X of the complex affine four-space defined by the equation x^2y+z^2+t^3+x=0. It is well-known that X is smooth contractible and rati…