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Some Results on Surfaces of General Type

Published online by Cambridge University Press:  20 November 2018

B. P. Purnaprajna
B. P. Purnaprajna*
Affiliation:
Department of Mathematics, University of Kansas, Lawrence, Kansas, USA 66045-2142, e-mail: purna@math.ku.edu
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Abstract

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In this article we prove some new results on projective normality, normal presentation and higher syzygies for surfaces of general type, not necessarily smooth, embedded by adjoint linear series. Some of the corollaries of more general results include: results on property ${{N}_{p}}$ associated to ${{K}_{S}}\,\otimes \,{{B}^{\otimes n}}$ where $B$ is base-point free and ample divisor with $B\,\otimes \,{{K}^{*}}\,nef,$ results for pluricanonical linear systems and results giving effective bounds for adjoint linear series associated to ample bundles. Examples in the last section show that the results are optimal.

Keywords

13D0214C2014J29
Type
Research Article
Information
Canadian Journal of Mathematics , Volume 57 , Issue 4 , 01 August 2005 , pp. 724 - 749
Copyright
Copyright © Canadian Mathematical Society 2005

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