English

Explicit KSBA compactifications of moduli spaces of secondary and tertiary Burniat surfaces

Algebraic Geometry 2025-05-15 v2

Abstract

We describe explicitly the geometric KSBA compactifications, obtained by adding slc surfaces~XX with ample canonical class, of moduli spaces of Burniat surfaces of degrees K2=5K^2=5, 44 and 33.

Keywords

Cite

@article{arxiv.2309.11397,
  title  = {Explicit KSBA compactifications of moduli spaces of secondary and tertiary Burniat surfaces},
  author = {Valery Alexeev and Xiaoyan Hu},
  journal= {arXiv preprint arXiv:2309.11397},
  year   = {2025}
}

Comments

v.2: Expanded version, with some minor corrections