Samuel Lerbet

collaborators

4 papers

math.AG2026

Witt groups of smooth real curves and surfaces

Samuel Lerbet

We study the $I^{*}$ -cohomology of a smooth real algebraic curve $X$ in terms of its real locus and its geometric genus. We notably extend results of Monnier to the twisted…

math.AG2026

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…

math.AG2026

On the image of higher signature maps

Samuel Lerbet

Given a smooth variety $X$ over the field $R$ of real numbers and a line bundle $L$ on $X$ with associated topological line bundle $L = L (R)$ , w…

math.AG2025

Splitting vector bundles over real algebraic varieties

Aravind Asok, Jean Fasel, Samuel Lerbet

Suppose $X$ is a smooth affine real variety and $E$ is a vector bundle over $X$ . We analyze the problem of splitting off a free rank one summand from $E$ in cor…