Scholarlink

<p>We study pencils of plane cubics with only one base point and general member smooth, giving a complete classification. Under the additional hypothesis that all members are irreducible, we prove that there exists a unique non-isotrivial pencil with these properties up to projective transformations. We compare our construction with the classical approaches given by Gattazzo, Beauville and Miranda-Persson. </p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

Pencils of plane cubics with one base point

  • 期刊论文

  • 发表日期：

    2025年1月3日

查看全文
  • Riccardo Moschetti,
  • Gian Pietro Pirola,
  • Lidia Stoppino

摘要

We study pencils of plane cubics with only one base point and general member smooth, giving a complete classification. Under the additional hypothesis that all members are irreducible, we prove that there exists a unique non-isotrivial pencil with these properties up to projective transformations. We compare our construction with the classical approaches given by Gattazzo, Beauville and Miranda-Persson.