Curves on surfaces with multiple line.
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Charles H. Walter (1990)
Journal für die reine und angewandte Mathematik
Jakub Duda (2008)
Czechoslovak Mathematical Journal
In this paper we study the notions of finite turn of a curve and finite turn of tangents of a curve. We generalize the theory (previously developed by Alexandrov, Pogorelov, and Reshetnyak) of angular turn in Euclidean spaces to curves with values in arbitrary Banach spaces. In particular, we manage to prove the equality of angular turn and angular turn of tangents in Hilbert spaces. One of the implications was only proved in the finite dimensional context previously, and equivalence of finiteness...
Leonhard Miller (1972)
Mathematische Annalen
Stefan Schröer (2003)
Annales de l'Institut Fourier
We show that the set of smooth curves of genus admitting a branched covering with only triple ramification points is of dimension at least . In characteristic two, such curves have tame rational functions and an analog of Belyi’s Theorem applies to them.
J. Agler, J. E. McCarthy (2009)
Publicacions Matemàtiques
Ragni Piene (1981)
Mathematische Annalen
Marcin Dumnicki (2007)
Annales Polonici Mathematici
We develop a new method of proving non-speciality of a linear system with base fat points in general position. Using this method we show that the Hirschowitz-Harbourne conjecture holds for systems with base points of equal multiplicity bounded by 42.
Pierre Deligne (1980)
Mémoires de la Société Mathématique de France
Luis Narváez-Macarro (1988)
Compositio Mathematica
Jiryo Komeda (1997)
Acta Arithmetica
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