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

1997/03/06 by Lopes, Margarida Mendes
#14J29 (Primary) 32H10 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.alg-geom/9703007

Abstract

It is shown that the canonical ring of a minimal surface of general type with p_g=0, K²≥ 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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