AbstractGiven a connected algebraic group G over an algebraically closed field and a G-homogeneous space X, we describe the Chow ring of G and the rational Chow ring of X, with special attention to the Picard group. Also, we investigate the Albanese and the “anti-affine” fibrations of G and X
We show the simple Hurwitz space $\mathcal{H}_{g,d}$ has trivial rational Picard group for $d>g-1$ a...
Andre used Hodge-theoretic methods to show that in a smooth proper family X → B of varieties over an...
AbstractWe prove here the following result. Let X be an affine curve and G/H an affine algebraic hom...
AbstractGiven a connected algebraic group G over an algebraically closed field and a G-homogeneous s...
Let X be a homogeneous space of a connected linear algebraic group G defined over the field of compl...
AbstractWe say that an algebraic group G over a field is anti-affine if every regular function on G ...
Let G be a connected algebraic group over an algebraically closed field of characteristic p (possibl...
Let G be a connected, simply-connected, simple affine algebraic group and Cg be a smooth irreducible...
For any complete $\mathbb{C}$-algebraic variety Y and its underlying compact $\mathbb{C}$-analytic s...
In this note we extend connectedness results to formal properties of inverse images under proper map...
We say that a smooth algebraic group $G$ over a field $k$ is very special if for any field extension...
International audienceLet X be a smooth compactification of a homogeneous space of a linear algebrai...
AbstractWe prove Bertini type theorems for the inverse image, under a proper morphism, of any Schube...
AbstractWe study equivariant embeddings with small boundary of a given homogeneous space G/H, where ...
23 pages - from page 15 to 22 are presented programs for calculation.In this note we give an example...
We show the simple Hurwitz space $\mathcal{H}_{g,d}$ has trivial rational Picard group for $d>g-1$ a...
Andre used Hodge-theoretic methods to show that in a smooth proper family X → B of varieties over an...
AbstractWe prove here the following result. Let X be an affine curve and G/H an affine algebraic hom...
AbstractGiven a connected algebraic group G over an algebraically closed field and a G-homogeneous s...
Let X be a homogeneous space of a connected linear algebraic group G defined over the field of compl...
AbstractWe say that an algebraic group G over a field is anti-affine if every regular function on G ...
Let G be a connected algebraic group over an algebraically closed field of characteristic p (possibl...
Let G be a connected, simply-connected, simple affine algebraic group and Cg be a smooth irreducible...
For any complete $\mathbb{C}$-algebraic variety Y and its underlying compact $\mathbb{C}$-analytic s...
In this note we extend connectedness results to formal properties of inverse images under proper map...
We say that a smooth algebraic group $G$ over a field $k$ is very special if for any field extension...
International audienceLet X be a smooth compactification of a homogeneous space of a linear algebrai...
AbstractWe prove Bertini type theorems for the inverse image, under a proper morphism, of any Schube...
AbstractWe study equivariant embeddings with small boundary of a given homogeneous space G/H, where ...
23 pages - from page 15 to 22 are presented programs for calculation.In this note we give an example...
We show the simple Hurwitz space $\mathcal{H}_{g,d}$ has trivial rational Picard group for $d>g-1$ a...
Andre used Hodge-theoretic methods to show that in a smooth proper family X → B of varieties over an...
AbstractWe prove here the following result. Let X be an affine curve and G/H an affine algebraic hom...