Projective surfaces of degree in projective -space and almost non-singular projections

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• 作者：Markus Brodmann^a ; ^{brodmann@math.unizh.ch} ; Peter Schenzel^b ; ^{schenzel@informatik.uni-halle.de}
• 关键词：Primary ; 14H45 ; 13D02
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2012
• 期刊代码：35_00224049
• 类别：mt
• 出版时间：October, 2012
• 卷：216
• 期：10
• 页码：2241-2255
• 文件大小：317 K

摘要

We study projective surfaces of degree in projective -space, more precisely (non-conic) irreducible non-degenerate surfaces of degree . We may divide up the class of these surfaces in surfaces whose affine cone satisfies the second Serre property and surfaces which occur as almost non-singular projections of either a smooth rational scroll or else of a del Pezzo surfaces which is arithmetically Cohen-Macaulay. We focus on those surfaces which occur as almost non-singular projections and study their geometric and cohomological properties.