5 papers
Quotients of real algebraic sets and AS-sets equipped with a linearizable compact group action
Fabien Priziac
We present the full-detailed construction of new geometric quotient structures for affine real algebraic varieties equipped with a linearizable action of a compact Lie group G. The…
The distance to cubic symmetry class as a polynomial optimization problem
Perla Azzi, Rodrigue Desmorat, Boris Kolev +1
Generically, a fully measured elasticity tensor has no material symmetry. For single crystals with a cubic lattice, or for the aeronautics turbine blades superalloys such as Nickel…
Quotients and invariants of AS-sets equipped with a finite group action
Fabien Priziac
Using the geometric quotient of a real algebraic set by the action of a finite group G, we construct invariants of GAS sets with respect to equivariant homeomorphisms with AS-graph…
Products of real equivariant weight filtrations
Fabien Priziac
We first show the existence of a weight filtration on the equivariant cohomology of real algebraic varieties equipped with the action of a finite group, by applying group cohomolog…
On the equivariant blow-Nash classification of simple invariant Nash germs
Fabien Priziac
We make progress towards the classification of simple Nash germs invariant under the involution changing the sign of the first coordinate, with respect to equivariant blow-Nash equ…