Let k be a complete nontrivially valued non-archimedean field. Given a finite morphism of quasi-smooth k-analytic curves that admit finite triangulations, we provide upper bounds for the number of connected components… Click to show full abstract
Let k be a complete nontrivially valued non-archimedean field. Given a finite morphism of quasi-smooth k-analytic curves that admit finite triangulations, we provide upper bounds for the number of connected components of the ramification locus in terms of topological invariants of the source curve such as its topological genus, the number of points in the boundary and the number of open ends.
Keywords:
connected components;
components ramification;
morphism;
ramification locus;
number;
number connected
Journal Title: Mathematische Annalen
Year Published: 2017
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Journal Title: Mathematische Annalen
Year Published: 2017
Link to full text (if available)
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recommendations!