Remarks on the Defining Equations of Smooth Threefolds in P5 |
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| Authors: | Youngook Choi Sijong Kwak |
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| Institution: | (1) School of Mathematics, Korea Institute for Advanced Study, 207-43 Cheongryangri-Dong, Dongdaemun-Gu, Seoul, Korea;(2) Department of Mathematics, Korea Advanced Institute of Science and Technology, 373-1 Gusung-dong Yusung-gu, Taejon, Korea |
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| Abstract: | In this paper, we prove the vanishing of the first cohomology groups of ideal sheaves twisted by small integers for smooth threefolds in P5 defined over the complex number field C by using Le Potier vanishing theorem and Castelnuovo regularity for vector bundles, which contributes Peskine–Van de Ven conjecture for 2-normality. |
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| Keywords: | 2-normality complete intersection vanishing theorem |
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