Scholarlink

Work of Green, Griffiths, Laza, and Robles suggests that the moduli space of (smoothable) stable surfaces should admit a natural stratification defined via Hodge theoretic data. In the case of stable surfaces with \(K_X^2 = 1\) and \(\chi (X) = 3\) we compute the Hodge type of all examples known to us and show that all predicted degenerations are geometrically realised.

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

Degeneration of Hodge Structures on I-Surfaces

  • 会议论文

  • 发表日期：

    2025年

查看全文
  • Stephen Coughlan,
  • Marco Franciosi,
  • Rita Pardini,
  • Sönke Rollenske

摘要

Work of Green, Griffiths, Laza, and Robles suggests that the moduli space of (smoothable) stable surfaces should admit a natural stratification defined via Hodge theoretic data. In the case of stable surfaces with \(K_X^2 = 1\) and \(\chi (X) = 3\) we compute the Hodge type of all examples known to us and show that all predicted degenerations are geometrically realised.