Some Results on Surfaces of General Type

[摘要] In this article we prove some new results on projective normality, normalpresentation and higher syzygies for surfaces of general type, notnecessarily smooth, embedded by adjoint linear series. Some of thecorollaries of more general results include: results on property $N_p$associated to $K_S otimes B^{otimes n}$ where $B$ is base-point free andample divisor with $Botimes K^*$ {it nef}, results for pluricanonicallinear systems and results giving effective bounds for adjoint linear seriesassociated to ample bundles. Examples in the last section show that the resultsare optimal.

[学科分类] 数学（综合）