On the deformation of Artin-Schreier to Kummer
T. Sekiguchi, F. Oort, N. Suwa (1989)
Annales scientifiques de l'École Normale Supérieure
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T. Sekiguchi, F. Oort, N. Suwa (1989)
Annales scientifiques de l'École Normale Supérieure
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Madhav V. Nori (1983)
Annales scientifiques de l'École Normale Supérieure
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Knud Lønsted, Steven L. Kleiman (1979)
Compositio Mathematica
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Scott Nollet, Enrico Schlesinger (2003)
Collectanea Mathematica
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Let F be a smooth projective surface contained in a smooth threefold T, and let X be the scheme corresponding to the divisor 2F on T. A locally Cohen-Macaulay curve C included in X gives rise to two effective divisors on F, namely the largest divisor P contained in C intersection F and the curve R residual to C intersection F in C. We show that under suitable hypotheses a general deformation of R and P lifts to a deformation of C on X, and give applications to the study of Hilbert schemes...
Pierre Deligne, David Mumford (1969)
Publications Mathématiques de l'IHÉS
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Stefan Schröer (2003)
Annales de l'Institut Fourier
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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.