English

Kulikov surfaces form a connected component of the moduli space

Algebraic Geometry 2015-01-14 v2

Abstract

We show that the Kulikov surfaces form a connected component of the moduli space of surfaces of general type with p_g=0 and K^2=6. We also give a new description for the surfaces, extending ideas of Inoue. Finally we calculate the bicanonical degree of a Kulikov surface, and prove that they verify the Bloch conjecture.

Keywords

Cite

@article{arxiv.1011.5574,
  title  = {Kulikov surfaces form a connected component of the moduli space},
  author = {Tsz On Mario Chan and Stephen Coughlan},
  journal= {arXiv preprint arXiv:1011.5574},
  year   = {2015}
}

Comments

24 pages, to appear in Nagoya Math. J

R2 v1 2026-06-21T16:48:53.472Z