论文标题
半统治戈伦斯坦曲线的变形四
Deformations of half-canonical Gorenstein curves in codimension four
论文作者
论文摘要
Ablett Arxiv的最新工作：2112.03400和Kapustka，Kapustka，Ranestad，Schenck，Stillman和Yuan Arxiv：2111.05817概述了奇异戈伦斯坦奇异的多种构造。 Coughlan，GołȩBiowski，Kapustka和Kapustka Arxiv的早期工作：1609.01195详细介绍了一系列非词性Gorenstein Codimension四个具有不同Betti表的构造。在本文中，我们在同一希尔伯特方案中的四个品种之间表现出许多平坦的变形，从而意识到许多奇异品种是早期非词性品种的专业化。
Recent work of Ablett arXiv:2112.03400 and Kapustka, Kapustka, Ranestad, Schenck, Stillman and Yuan arXiv:2111.05817 outlines a number of constructions for singular Gorenstein codimension four varieties. Earlier work of Coughlan, Gołȩbiowski, Kapustka and Kapustka arXiv:1609.01195 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.
