Anticanonical Rational Surfaces
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, treated in separate papers, include questions involving: points in good position, birational models of rational surfaces in projective space, and resolutions for ideals of fat point subschemes of .
Cite
@article{arxiv.alg-geom/9509001,
title = {Anticanonical Rational Surfaces},
author = {Brian Harbourne},
journal= {arXiv preprint arXiv:alg-geom/9509001},
year = {2009}
}
Comments
14 pp. The preprint itself is not contained in the Duke archive; plainTeX textfile and dvi versions of this preprint can instead be obtained via the author's www site, http://www.math.unl.edu/~bharbour/ . Comments and requests can be directed to [email protected]