2 citations · 3 across the 6 of their papers we have counts for
7 papers
Separating components of real algebraic varieties by cohomological invariants
Olivier Benoist, Samuel Lerbet
Let be a smooth algebraic variety over . We study the separation of the connected components of by equivariant cohomology, unramified cohomology, an…
Suslin's cancellation conjecture on smooth real affine varieties with few real points
Sourjya Banerjee, Jean Fasel, Samuel Lerbet
We study Suslin's cancellation conjecture on smooth real affine varieties whose real locus is empty or, more generally, of small cohomological dimension.
Witt groups of smooth real curves and surfaces
Samuel Lerbet
We study the -cohomology of a smooth real algebraic curve in terms of its real locus and its geometric genus. We notably extend results of Monnier to the twisted case…
On the cohomological classification of vector bundles on smooth real affine surfaces and threefolds
Samuel Lerbet
We study the cohomological classification of vector bundles on smooth real affine surfaces and threefolds. We show that, as was observed in joint work in A. Asok and J. Fasel and w…
Splitting vector bundles over real algebraic varieties
Aravind Asok, Jean Fasel, Samuel Lerbet
Suppose is a smooth affine real variety and is a vector bundle over . We analyze the problem of splitting off a free rank one summand from in cor…
On the image of higher signature maps
Samuel Lerbet
Given a smooth variety over the field of real numbers and a line bundle on with associated topological line bundle , w…
Motivic stable cohomotopy and unimodular rows
Samuel Lerbet
We relate the group structure of van der Kallen on orbit sets of unimodular rows with values in a smooth algebra over a field with the motivic cohomotopy groups of the spec…