Rational curves on K3 surfaces in $\mathbb {P}^1\times \mathbb {P}^1\times \mathbb {P}^1$
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- by Arthur Baragar PDF
- Proc. Amer. Math. Soc. 126 (1998), 637-644 Request permission
Abstract:
We discuss Manin and Batyrev’s notion of the arithmetic stratification of a variety, and, for an irreducible surface $V$ embedded in $\mathbb P^m$, compare it with the spectrum of degrees of rational curves on $V$. We study this spectrum for the class of K3 surfaces generated by smooth (2,2,2) forms in $\mathbb P^1\times \mathbb P^1 \times \mathbb P^1$.References
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Additional Information
- Arthur Baragar
- Affiliation: Department of Mathematics, University of Waterloo, Waterloo, Ontario, Canada N2L 3G1
- Address at time of publication: Department of Mathematical Sciences, University of Nevada, Las Vegas, Nevada 89154-4020
- Email: baragar@nevada.edu
- Received by editor(s): May 9, 1996
- Communicated by: Ron Donagi
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 637-644
- MSC (1991): Primary 14J28, 14J50, 14G05
- DOI: https://doi.org/10.1090/S0002-9939-98-04427-X
- MathSciNet review: 1459107