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math.GT2022★ 4 cited
Poincaré-Reeb graphs of real algebraic domains
Arnaud Bodin, Patrick Popescu-Pampu, Miruna-Stefana Sorea
An algebraic domain is a closed topological subsurface of a real affine plane whose boundary consists of disjoint smooth connected components of real algebraic plane curves. We stu…
math.NT2022
Polynomial equations modulo prime numbers
Arnaud Bodin, Pierre Dèbes, Salah Najib
We consider polynomial equations, or systems of polynomial equations, with integer coefficients, modulo prime numbers . We offer an elementary approach based on a counting metho…