The Dual Complex of a semi-log canonical Surface

2019/08/12 by Brown, Morgan V
#Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1908.04315

Abstract

Semi-log canonical varieties are a higher-dimensional analogue of stable curves. They are the varieties appearing as the boundary Δ of a log canonical pair (X,Δ), and also appear as limits of canonically polarized varieties in moduli theory. For certain three-fold pairs (X,Δ) 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.

Related

• Log canonical singularities and complete moduli of stable pairs
• Existence of log canonical closures
• The structure of surfaces mapping to the moduli stack of canonically polarized varieties
• Log minimal model program for the moduli space of stable curves of genus three
• The solvable monodromy extension property and varieties of log general type