4 citations · 12 across the 7 of their papers we have counts for
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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…
Distance to a constitutive tensor isotropy stratum by Lasserre polynomial optimization method
Perla Azzi, Rodrigue Desmorat, Boris Kolev +1
We give a detailed description of a polynomial optimization method allowing to solve a problem in continuum mechanics: the determination of the elasticity or the piezoelectricity t…
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…
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…
Cohomology and products of real weight filtrations
Thierry Limoges, Fabien Priziac
We associate to each algebraic variety defined over a filtered cochain complex, which computes the cohomology with compact supports and -coefficients of…
Equivariant weight filtration for real algebraic varieties with action
Fabien Priziac
We show the existence of an equivariant weight filtration on the equivariant homology of real algebraic varieties equipped with a finite group action, by applying group homology on…