The Hurwitz form of a projective variety

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• 作者：Bernd Sturmfels ^{bernd@berkeley.edu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：Polynomial systems ; Discriminant ; Chow form ; Newton polytope ; Numerical algebraic geometry
• 刊名：Journal of Symbolic Computation
• 出版年：2017
• 出版时间：March-April 2017
• 年：2017
• 卷：79
• 期：part_P1
• 页码：186-196
• 全文大小：359 K

文摘

The Hurwitz form of a variety is the discriminant that characterizes linear spaces of complementary dimension which intersect the variety in fewer than degree many points. We study computational aspects of the Hurwitz form, relate this to the dual variety and Chow form, and show why reduced degenerations are special on the Hurwitz polytope.