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arXiv · 1012.4226

Syzygies of surfaces of general type

P. Banagere·Krishna Hanumanthu
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Abstract

We prove new results on projective normality, normal presentation and higher syzygies for a surface of general type $X$ embedded by adjoint line bundles $L_r = K + rB$, where $B$ is a base point free, ample line bundle. Our main results determine the $r$ for which $L_r$ has $N_p$ property. In corollaries, we will relate the bounds on $r$ to the regularity of $B$. Examples in the last section show that several results are optimal.

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P. Banagere, Krishna Hanumanthu. 2010-12-20. Syzygies of surfaces of general type. https://doi.org/10.1007/s10711-012-9806-1

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