直纹曲面上的高阶先验束及其全局截面

IF 0.9 3区数学 Q1 MATHEMATICS

Annali di Matematica Pura ed Applicata Pub Date : 2025-01-04 DOI:10.1007/s10231-024-01541-0

L. Costa, I. Macías Tarrío

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引用次数: 0

摘要

设X是属\(g\ge 0\)的非奇异曲线C上的一条直边曲面。本文的主要目的是构造X上任意秩r的简单优先向量束，并给出它们的全局截面模维数的有效界。

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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Higher rank prioritary bundles on ruled surfaces and their global sections

Let X be a ruled surface over a nonsingular curve C of genus \(g\ge 0\). The main goal of this paper is to construct simple prioritary vector bundles of any rank r on X and to give effective bounds for the dimension of their module of global sections.

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来源期刊

Annali di Matematica Pura ed Applicata 数学-数学

CiteScore

2.10

自引率

10.00%

发文量

审稿时长

>12 weeks

期刊介绍： This journal, the oldest scientific periodical in Italy, was originally edited by Barnaba Tortolini and Francesco Brioschi and has appeared since 1850. Nowadays it is managed by a nonprofit organization, the Fondazione Annali di Matematica Pura ed Applicata, c.o. Dipartimento di Matematica "U. Dini", viale Morgagni 67A, 50134 Firenze, Italy, e-mail annali@math.unifi.it). A board of Italian university professors governs the Fondazione and appoints the editors of the journal, whose responsibility it is to supervise the refereeing process. The names of governors and editors appear on the front page of each issue. Their addresses appear in the title pages of each issue.