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

Pub Date : 2021-01-01 DOI:10.2206/kyushujm.75.211
Y. Fukuma
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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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