

A counter-example to the log-canonical Beauville-Bogomolov decomposition
De Zsolt Patakfalvi


Effective bounds for polynomial systems defined over the rationals - lecture 2
De Teresa Krick
De Anna Valette
Apparaît dans la collection : Logarithmic and non-archimedean methods in Singularity Theory - Thematic Month Week 1 / Méthodes logarithmiques et non-archimédiennes en théorie des singularités - Mois thématique semaine 1
This talk is based on a common work with Wieslaw Pawlucki and Beata Kocel-Cynk. I will present a notion of $\mathrm{\wedge }_{p}$-regular partition of unity which can be seen as a semialgebraic counterpart of Whitney partition of unity. This enables us to obtain a semialgebraic (or more generally definable) version of Calder´on Zygmund theorem on regularization of the distance function. Some more consequences will also be given.