CORDIS Project
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The project aims to extend the technique of resolution of singularities in algebraic geometry to differential geometry and dynamical systems. By developing new methods, it seeks to address singular points in various mathematical contexts, enhancing understanding and applications in geometry.
A singularity of a geometric object, such as an equation, variety, foliation, morphism, etc, is, loosely speaking, a point with non-trivial local behavior.
In geometry, analysis, algebra, physics, among other sciences, their occurrence is unavoidable.
Resolution of singularities is one of the most successful techniques to study singular points of an algebraic equation.
Arguably, Hironaka's proof of the existence of RS for algebraic varieties over a field of characteristic zero stands as one the…
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