Singularidades
Lunes 20 de junio de 2016
16:00hrs
Palapa Guillermo Torres
Imparte(n)
Responsable(s):
The problem of computing (or at least obtaining an upper bound for) the
multiplicity of a polynomial restricted to a trajectory of a polynomial
vector field has important applications in control theory and in analytic
number theory. The multivariable version of this problem is computing the
multiplicity of an isolated zero of a system of Noetherian functions
(restrictions of polynomials to integral manifolds of Pfaffian partial
differential equations). The multiplicity of such a zero can be expressed
in terms of the Euler characteristics of generalized Milnor fibers
associated with the system of equations. This provides an effective upper
bound on the multiplicity. Recently, these results have been improved by
G. Binyamini, and extended by G. Binyamini and D. Novikov to non-isolated
intersections.
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