Projective surfaces over a finite field

Authors:
Roger Wiegand and William Krauter

Journal:
Proc. Amer. Math. Soc. **83** (1981), 233-237

MSC:
Primary 14J99

DOI:
https://doi.org/10.1090/S0002-9939-1981-0624904-8

MathSciNet review:
624904

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Abstract: Let be the algebraic closure of a finite field, and let be an irreducible projective surface over . Let be a curve on , and let be a finite set of closed points of meeting each irreducible component of . We prove that there is an irreducible curve on whose set-theoretic intersection with is . Using this theorem we characterize as a topological space, and we show that for any two irreducible plane curves , there is a homeomorphism from onto itself taking onto .

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DOI:
https://doi.org/10.1090/S0002-9939-1981-0624904-8

Article copyright:
© Copyright 1981
American Mathematical Society