On the normality of secant varieties

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• 作者：Brooke Ullery ^{bullery@umich.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Secant variety ; Hilbert scheme ; Normal variety ; Positivity ; Vector bundle
• 刊名：Advances in Mathematics
• 出版年：2016
• 出版时间：22 January 2016
• 年：2016
• 卷：288
• 期：Complete
• 页码：631-647
• 全文大小：351 K

文摘

In this paper, we show that the secant variety to a smooth projective variety embedded by a sufficiently positive line bundle is normal. As an application, we deduce that the secant variety to a general canonical curve of genus at least 7 is normal.