A short proof of Castelnuovo’s criterion of rationality
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- by William E. Lang PDF
- Trans. Amer. Math. Soc. 264 (1981), 579-582 Request permission
Abstract:
We give a new proof in positive characteristic of Castelnuovo’s criterion of rationality of algebraic surfaces. We use crystalline cohomology and the de Rham-Witt complex as a substitute for the transcendeal methods of Kodaira.References
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Additional Information
- © Copyright 1981 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 264 (1981), 579-582
- MSC: Primary 14J10; Secondary 14E30, 14F30
- DOI: https://doi.org/10.1090/S0002-9947-1981-0603783-3
- MathSciNet review: 603783