Institut de Mathématiques de Bordeaux

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19962026

most citedThe hydrodynamical relevance of the Camassa-Holm and Degasperis-Procesi equations

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64 papers · 1 filter

math.AG2025

Iterated polynomials are dense

Pascal Autissier, Jean-Philippe Furter, Egor Yasinsky

For any infinite field k and any positive integer r, we show constructively that the map sending each polynomial P $\in$ k[x] to its r-th iterate is dominant in various inductive l…

math.AG2025

Beauville-Bogomolov decomposition for klt varieties

Henri Guenancia

These lecture notes present a mostly self-contained proof of the singular version of Beauville-Bogomolov decomposition theorem for compact Kähler varieties with log terminal singul…

math.AG2025

Log Calabi--Yau manifolds: holomorphic tensors, stability and universal cover

Tristan C. Collins, Henri Guenancia

We study various geometric properties of log Calabi-Yau manifolds, i.e. log smooth pairs $(X, D)$ such that $K_{X} + D = 0$ . More specifically, we focus on the two cases where $X$ is a Fa…

math.AG2025

Dual of Algebraic Geometry codes from Hirzebruch surfaces

Alix Barraud

In this paper, we give an explicit form for the dual of the algebraic geometry code $C_{e} (a, b)$ defined on an Hirzebruch surface $H_{e}$ and parametrized by the divisor $aS_…

math.AG2025

A rationality criterion for real Fano threefolds

Andrea Fanelli, Frédéric Mangolte

We study the connectedness of the real locus of smooth geometrically rational Fano threefolds and prove a sufficient criterion of $R$ -rationality.

math.AG2025

On the cohomological representations of finite automorphism groups of singular curves and compact complex spaces

Qing Liu, Wenfei Liu

Let G be a finite group acting tamely on a proper reduced curve C over an algebraically closed field. We study the G-module structure on the cohomology groups of a G-equivariant lo…