Hector Pasten

activity

20142026

most citedIntersecting the torsion of elliptic curves

1 citations · 1 across the 18 of their papers we have counts for

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math.AG2024

Algebroid maps and hyperbolicity of symmetric powers

Natalia Garcia-Fritz, Hector Pasten

Given a complex projective algebraic variety $X$ we define $h (X)$ as the largest $n$ such that the $n$ -th symmetric power of $X$ is (Brody) hyperbolic. Using Nevanlinna theory for…

math.CV2024

Hilbert's tenth problem for rings of holomorphic functions of bounded order

Hector Pasten

One of the main open problems in the context of extensions of Hilbert's tenth problem (HTP) is the case of the ring of complex entire functions in one variable. In the direction of…