余维四中半正则Gorenstein曲线的变形

IF 0.6 4区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Journal of Symbolic Computation Pub Date : 2023-07-20 DOI:10.1016/j.jsc.2023.102251

Patience Ablett , Stephen Coughlan

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引用次数: 0

摘要

Ablett（2021）和Kapustka，Kapustka、Ranestad、Schenck、Stillman和Yuan（2021）最近的工作概述了奇异Gorenstein四维变体的许多构造。Coughlan、Gołȩbiowski、Kapustka和Kapustka（2016）的早期工作详细介绍了一系列具有不同Betti表的非奇异Gorenstein余维四结构。在本文中，我们在同一希尔伯特方案中展示了Gorenstein余维四个变种之间的许多平坦变形，将许多奇异变种实现为早期非奇异变种的专门化。

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Deformations of half-canonical Gorenstein curves in codimension four

Recent work of Ablett (2021) and Kapustka, Kapustka, Ranestad, Schenck, Stillman and Yuan (2021) outlines a number of constructions for singular Gorenstein codimension four varieties. Earlier work of Coughlan, Gołȩbiowski, Kapustka and Kapustka (2016) details a series of nonsingular Gorenstein codimension four constructions with different Betti tables. In this paper we exhibit a number of flat deformations between Gorenstein codimension four varieties in the same Hilbert scheme, realising many of the singular varieties as specialisations of the earlier nonsingular varieties.

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来源期刊

Journal of Symbolic Computation 工程技术-计算机：理论方法

CiteScore

2.10

自引率

14.30%

发文量

审稿时长

142 days

期刊介绍： An international journal, the Journal of Symbolic Computation, founded by Bruno Buchberger in 1985, is directed to mathematicians and computer scientists who have a particular interest in symbolic computation. The journal provides a forum for research in the algorithmic treatment of all types of symbolic objects: objects in formal languages (terms, formulas, programs); algebraic objects (elements in basic number domains, polynomials, residue classes, etc.); and geometrical objects. It is the explicit goal of the journal to promote the integration of symbolic computation by establishing one common avenue of communication for researchers working in the different subareas. It is also important that the algorithmic achievements of these areas should be made available to the human problem-solver in integrated software systems for symbolic computation. To help this integration, the journal publishes invited tutorial surveys as well as Applications Letters and System Descriptions.