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8 papers · 2 filters
Geometric classification of real ternary octahedral quartics
Noémie Combe
Ternary real-valued quartics in being invariant under octahedral symmetry are considered. The geometric classification of these surfaces is given. A new type of surf…
Fibrations structure and degree formulae for Milnor fibers
Nicolas Dutertre, Raimundo N. Araújo Dos Santos, Ying Chen +1
In this survey, we remind some fibrations structure theorems (also called Milnor's fibrations) recently proved in the real and complex case, in the local and global settings. We gi…
Tower of algebraic function fields with maximal Hasse-Witt invariant and tensor rank of multiplication in any extension of and
Stéphane Ballet, Julia Pieltant
Up until now, it was recognized that a large number of 2-torsion points was a technical barrier to improve the bounds for the symmetric tensor rank of multiplication in every exten…
On the Number of Points of Algebraic Sets over Finite Fields
Gilles Lachaud, Robert Rolland
We determine upper bounds on the number of rational points of an affine or projective algebraic set defined over an extension of a finite field by a system of polynomial equations,…
Stability data, irregular connections and tropical curves
Sara Angela Filippini, Mario Garcia-Fernandez, Jacopo Stoppa
We study a class of meromorphic connections on , parametrised by the central charge of a stability condition, with values in a Lie algebra of formal v…
Equivariant zeta functions for invariant Nash germs
Fabien Priziac
To any Nash germ invariant under right composition with a linear action of a finite group, we associate its equivariant zeta functions, inspired from motivic zeta functions, using…