Postulation of lines in P3 revisited

IF 0.9 4区数学 Q4 COMPUTER SCIENCE, THEORY & METHODS

Journal of Symbolic Computation Pub Date : 2026-07-01 Epub Date: 2025-11-17 DOI:10.1016/j.jsc.2025.102525

Marcin Dumnicki , Mikołaj Le Van , Grzegorz Malara , Tomasz Szemberg , Justyna Szpond , Halszka Tutaj-Gasińska

引用次数: 0

Abstract

The purpose of the present note is to provide a new proof of the well-known result due to Hartshorne and Hirschowitz to the effect that general lines in projective spaces have good postulation. Our approach uses specialization to a hyperplane and thus opens a door to study postulation of general codimension 2 linear subspaces in projective spaces.

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重新考虑P3中的行假设

本文的目的是为Hartshorne和Hirschowitz的著名结论提供一个新的证明，证明投影空间中的一般线具有良好的公设。我们的方法对超平面进行专门化，从而为研究射影空间中一般余维数为2的线性子空间的假设打开了大门。

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

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.