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math.AC2014
F-threshold functions: syzygy gap fractals and the two-variable homogeneous case
Daniel J. Hernández, Pedro Teixeira
In this article we study F-pure thresholds (and, more generally, F-thresholds) of homogeneous polynomials in two variables over a field of characteristic p>0. Passing to a field ex…
math.DS2014
Topological detection of Lyapunov instability
Pedro Teixeira
Given an arbitrary continuous flow on a manifold M, let CMin be the set of its compact minimal sets, endowed with the Hausdorff metric, and S the subset of those that are Lyapunov…