English

Compact moduli for certain Kodaira fibrations

Algebraic Geometry 2009-10-31 v2

Abstract

We describe explicitly the possible degenerations of a class of double Kodaira fibrations in the moduli space of stable surfaces. Using deformation theory we also show that under some assumptions we get a connected component of the moduli space of stable surfaces.

Keywords

Cite

@article{arxiv.0905.2536,
  title  = {Compact moduli for certain Kodaira fibrations},
  author = {Sönke Rollenske},
  journal= {arXiv preprint arXiv:0905.2536},
  year   = {2009}
}

Comments

21 pages, 2 figures; v2: New section where we prove that in some cases we get a connected component of the moduli space. Minor changes in the rest of the text

R2 v1 2026-06-21T13:02:41.234Z