The degree of the generators of the canonical ring of surfaces with p_g=0

Details The degree of the generators of the canonical ring of surfaces with p_g=0 The degree of the generators of the canonical ring of surfaces with p_g=0

1997-03-06

arxiv.org/abs/alg-geom/9703007v1

Mathematics

Algebraic Geometry

Plain TeX, Version 1.5, 5 pages

Scientific paper

It is shown that the canonical ring of a minimal surface of general type with
$p_g=0, K^2\geq 2$ is generated by its elements of degree lesser or equal to 5,
provided $|2K|$ has no fixed components, and that this bound can be lowered to
4 under the assumption that $|2K|$ is base-point free.

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