余维四中半正则Gorenstein曲线的变形

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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