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14 papers · 1 filter
On the period map for prime Fano threefolds of degree 10
O. Debarre, A. Iliev, L. Manivel
We prove that the deformations of a smooth complex Fano threefold X with Picard number 1, index 1, and degree 10, are unobstructed. The differential of the period map has two-dimen…
Smooth Affine Surfaces with Non-Unique C*-Actions
Hubert Flenner, Shulim Kaliman, Mikhail Zaidenberg
In this paper we complete the classification of effective C*-actions on smooth affine surfaces up to conjugation in the full automorphism group and up to inversion of C*. If a smoo…
On Birational Transformations of Pairs in the Complex Plane
Jérémy Blanc, Ivan Pan, Thierry Vust
This article deals with the study of the birational transformations of the projective complex plane which leave invariant an irreducible algebraic curve. We try to describe the sta…
Affine symmetries of the equivariant quantum cohomology ring of rational homogeneous spaces
Pierre-Emmanuel Chaput, Laurent Manivel, Nicolas Perrin
Let be a rational homogeneous space and let be the group of invertible elements in the small quantum cohomology ring of localised in the quantum para…
Anti-affine algebraic groups
Michel Brion
We say that an algebraic group over a field is anti-affine if every regular function on is constant. We obtain a classification of these groups, with applications to the st…
Autour de la cohomologie de Bott-Chern
Michel Schweitzer
The goal of the memoir is to develop a new cohomology theory which encompasses De Rham and Dolbeault cohomology as well as Deligne Beilinson cohomology, in the context of general c…