On existence of quasi-Strebel structures for meromorphic k-differentials

24 Feb 2020 Shapiro Boris Tahar Guillaume

In this paper, motivated by the classical notion of a Strebel quadratic differential on a compact Riemann surfaces without boundary we introduce the notion of a quasi-Strebel structure for a meromorphic differential of an arbitrary order. It turns out that every differential of even order k exceeding 2 satisfying certain natural conditions at its singular points admits such a structure... (read more)

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  • ALGEBRAIC GEOMETRY
  • GEOMETRIC TOPOLOGY