Towards the Bertram-Feinberg-Mukai conjecture

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• 作者：Naizhen Zhang¹ ; ^{nzhzhang@math.ucdavis.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：14H51 ; 14H60
• 刊名：Journal of Pure and Applied Algebra
• 出版年：2016
• 出版时间：April 2016
• 年：2016
• 卷：220
• 期：4
• 页码：1588-1654
• 全文大小：1272 K

文摘

In this paper, we prove the existence portion of the Bertram–Feinberg–Mukai Conjecture for an infinite family of new cases using degeneration technique. This not only leads to a substantial improvement of known results but also develops finer tools for analyzing the moduli of rank two limit linear series which should be useful for applications to other higher-rank Brill–Noether problems.