Buchsbaum criterion of Segre products of vector bundles on mupliprojective space
Buchsbaum criterion of Segre products of vector bundles on mupliprojective space
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多投影空间上向量丛Segre积的Buchsbaum准则
DOI：
10.1016/j.jalgebra.2016.06.037
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发表时间：
2016
影响因子：
0.9
通讯作者：
Chikashi Miyazaki
中科院分区：
文献类型：
--
作者：
Le Tuan Hoa;Kyouko Kimura;Naoki Terai and Tran Nam Trung;L. W. Christensen and K. Kato;小島秀雄;Chikashi Miyazaki;Peter Jorgensen and Kiriko Kato;Chikashi Miyazaki
研究了多投射空间上Buchsbaum向量丛的塞格雷积的Buchsbaum性质。射影空间上的Buchsbaum向量丛同构于具有某种扭曲的微分层的外积的直和。我们将给出这些丛的塞格雷积的Buchsbaum性质的上同调准则。
This paper investigates the Buchsbaum property of Segre product of Buchsbaum vector bundles on multiprojective spaces. A Buchsbaum vector bundle on the projective space is isomorphic to a direct sum of exterior products of differential sheaves with some twist. We will give cohomological criteria for the Buchsbaum property of the Segre products of these bundles.