Irregular surfaces on hypersurfaces of degree 4 with non-degenerate isolated singularities

IF 0.5 4区数学 Q3 MATHEMATICS

Advances in Geometry Pub Date : 2022-07-01 DOI:10.1515/advgeom-2022-0008

Daniel Naie

引用次数: 0

Abstract

Abstract It is shown that a smooth surface lying on a nodal quartic hypersurface in ℙ4 is either regular or an elliptic conic bundle of degree 8. Furthermore, the latter configuration is shown to exist.

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具有非退化孤立奇点的4次超曲面上的不规则曲面

摘要本文证明了一个光滑的曲面位于一个节点四次超曲面上ℙ4是正则的或8次的椭圆圆锥丛。此外，后一种配置被证明是存在的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Advances in Geometry 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： Advances in Geometry is a mathematical journal for the publication of original research articles of excellent quality in the area of geometry. Geometry is a field of long standing-tradition and eminent importance. The study of space and spatial patterns is a major mathematical activity; geometric ideas and geometric language permeate all of mathematics.