English

The Dual Complex of a semi-log canonical Surface

Algebraic Geometry 2019-08-14 v1

Abstract

Semi-log canonical varieties are a higher-dimensional analogue of stable curves. They are the varieties appearing as the boundary Δ\Delta of a log canonical pair (X,Δ)(X,\Delta), and also appear as limits of canonically polarized varieties in moduli theory. For certain three-fold pairs (X,Δ)(X,\Delta) we show how to compute the PL homeomorphism type of the dual complex of a dlt minimal model directly from the normalization data of Δ\Delta.

Keywords

Cite

@article{arxiv.1908.04315,
  title  = {The Dual Complex of a semi-log canonical Surface},
  author = {Morgan V Brown},
  journal= {arXiv preprint arXiv:1908.04315},
  year   = {2019}
}
R2 v1 2026-06-23T10:45:32.428Z