Author

Samuel Lerbet

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Preprint Oct 2026

Separating components of real algebraic varieties by cohomological invariants

Let $X$ be a smooth algebraic variety over $\mathbb{R}$. We study the separation of the connected components of $X(\mathbb{R})$ by equivariant cohomology, unramified cohomology, and signatures of unramified quadratic forms. Our results highlight how the geometry of $X$ influences these questions. We apply them to cubic...

Olivier Benoist, Samuel Lerbet · 0 citations

Preprint Aug 2026

Witt groups of smooth real curves and surfaces

We study the $\mathbf{I}^*$-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, which is crucial to the understanding of proper pushforwards of Witt groups. We also perform some computations related to transfers along...

Samuel Lerbet · 1 citation