The cone of Betti diagrams over a hypersurface ring of low embedding dimension

详细信息	查看全文 | 推荐本文 |

• 作者：Christine Berkesch^a ; ^{cberkesc@math.duke.edu} ; Jesse Burke^b ; ^{jburke@math.uni-bielefeld.de} ; Daniel Erman^c ; ^{erman@umich.edu} ; Courtney Gibbons^d ; ^{s-cgibbon5@math.unl.edu}
• 关键词：13D02 ; 05E40
• 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：2256-2268
• 文件大小：273 K

摘要

We give a complete description of the cone of Betti diagrams over a standard graded hypersurface ring of the form , where is a homogeneous quadric. We also provide a finite algorithm for decomposing Betti diagrams, including diagrams of infinite projective dimension, into pure diagrams. Boij-S枚derberg theory completely describes the cone of Betti diagrams over a standard graded polynomial ring; our result provides the first example of another graded ring for which the cone of Betti diagrams is entirely understood.