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Anticanonical Rational Surfaces |
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| Authors: | Brian Harbourne |
| Affiliation: | Department of Mathematics and Statistics, University of Nebraska-Lincoln, Lincoln, Nebraska 68588-0323 |
| Abstract: | A determination of the fixed components, base points and irregularity is made for arbitrary numerically effective divisors on any smooth projective rational surface having an effective anticanonical divisor. All of the results are proven over an algebraically closed field of arbitrary characteristic. Applications, to be treated in separate papers, include questions involving: points in good position, birational models of rational surfaces in projective space, and resolutions for 0-dimensional subschemes of  defined by complete ideals. |
| Keywords: | Anticanonical rational surface base points fixed components linear systems |
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