ON THE DIMENSION OF THE GLOBAL SECTIONS OF THE ADJOINT BUNDLE FOR POLARIZED 5-FOLDS

IF 0.6 4区数学 Q3 MATHEMATICS

Kyushu Journal of Mathematics Pub Date : 2021-01-01 DOI:10.2206/kyushujm.75.211

Y. Fukuma

引用次数: 1

Abstract

. Let ( X , L ) denote a polarized manifold of dimension ﬁve. This study considers the dimension of the global sections of K X + mL with m ≥ 6. In particular, we prove that h 0 ( K X + mL ) ≥ (cid:0) m − 1 5 (cid:1) for any polarized 5-fold ( X , L ) with h 0 ( L ) > 0. Furthermore, we also consider ( X , L ) with h 0 ( K X + mL ) = (cid:0) m − 1 5 (cid:1) for some m ≥ 6 with h 0 ( L ) > 0.

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偏振五折伴随束整体截面的维数

．设(X, L)表示五维的极化流形。本研究考虑m≥6的K X + mL整体切片的维数。特别地，我们证明了h 0 (K X + mL)≥(cid:0) m−15 (cid:1)对于任何具有h 0 (L) >的极化5倍(X, L)。此外，我们还考虑(X, L)与h 0 (K X + mL) = (cid:0) m−15 (cid:1)对于某些m≥6与h 0 (L) > 0。

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

Kyushu Journal of Mathematics 数学-数学

CiteScore

0.80

自引率

0.00%

发文量

审稿时长

>12 weeks

期刊介绍： The Kyushu Journal of Mathematics is an academic journal in mathematics, published by the Faculty of Mathematics at Kyushu University since 1941. It publishes selected research papers in pure and applied mathematics. One volume, published each year, consists of two issues, approximately 20 articles and 400 pages in total. More than 500 copies of the journal are distributed through exchange contracts between mathematical journals, and available at many universities, institutes and libraries around the world. The on-line version of the journal is published at "Jstage" (an aggregator for e-journals), where all the articles published by the journal since 1995 are accessible freely through the Internet.