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math.AG2025
Path signatures of ODE solutions
Francesco Galuppi, Giovanni Moreno, Pierpaola Santarsiero
The signature of a path is a sequence of tensors which allows to uniquely reconstruct the path. By employing the geometric theory of nonlinear systems of ordinary differential equa…
math.AG2018
Complex contact manifolds, varieties of minimal rational tangents, and exterior differential systems
Jarosław Buczyński, Giovanni Moreno
Complex contact manifolds arise naturally in differential geometry, algebraic geometry and exterior differential systems. Their classification would answer an important question ab…