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arXiv · 2012.00085

Resolution of singularities of 2-dimensional real analytic constrained differential systems

Otavio Henrique Perez·Paulo Ricardo da Silva
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Abstract

We present a theorem of resolution of singularities for real analytic constrained differential systems $A(x)\dot{x} = F(x)$ defined on a 2-manifold with corners having impasse set $\{x; \det A(x) = 0\}$. This result can be seen as a generalization of the classical one for 2-dimensional real analytic vector fields. Our proof is based on weighted blow-ups and the Newton polygon.

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Otavio Henrique Perez, Paulo Ricardo da Silva. 2020-11-30. Resolution of singularities of 2-dimensional real analytic constrained differential systems. https://arxiv.org/abs/2012.00085

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