Scholarlink

<p>We determine the minimal possible volume of a projective log canonical surface of general type with prescribed positive geometric genus. As applications, we provide effecitive Noether type inequalities for log canonical threefolds and stable surfaces. Also, we obtain a uniform bound on the order of the symplectic automorphism group Aut<sub><i>s</i></sub>(<i>S</i>) of smooth projective surfaces <i>S</i> of general type.</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

The minimal volume of log canonical surfaces of general type with positive geometric genus

  • 期刊论文

  • 发表日期：

    2025年9月4日

查看全文
  • Wenfei Liu

摘要

We determine the minimal possible volume of a projective log canonical surface of general type with prescribed positive geometric genus. As applications, we provide effecitive Noether type inequalities for log canonical threefolds and stable surfaces. Also, we obtain a uniform bound on the order of the symplectic automorphism group Auts(S) of smooth projective surfaces S of general type.