

Effective bounds for polynomial systems defined over the rationals - lecture 2
De Teresa Krick


Effective bounds for polynomial systems defined over the rationals - lecture 1
De Teresa Krick
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
The talks will be about the use of the motivic obstruction to stable rationality introduced by Nicaise–Shinder to the rationality problem for hypersurfaces and complete intersections. In particular, we will show that very general quartic fivefolds and complete intersections of a quadric and a cubic in $\mathrm{P}^{6}$ arestably irrational. An important new ingredient is the use of tropical degeneration techniques. These results are obtained in collaboration with Johannes Nicaise.