Explicit KSBA Compactifications of Moduli Spaces of Secondary and Tertiary Burniat Surfaces

We describe explicitly the geometric KSBA compactifications, obtained by adding slc surfaces X with ample canonical class, of moduli spaces of Burniat surfaces of degrees K 2 = 5, 4 and 3.

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Publication Details

Journal
Taiwanese Journal of Mathematics
Published
2025-09-10
DOI
https://doi.org/10.11650/tjm/250901
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00

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article

Explicit KSBA Compactifications of Moduli Spaces of Secondary and Tertiary Burniat Surfaces

Xiao Hu, Valery Alexeev
Taiwanese Journal of Mathematics
Advanced Numerical Analysis Techniques
article

Explicit KSBA Compactifications of Moduli Spaces of Secondary and Tertiary Burniat Surfaces

Xiao Hu, Valery Alexeev
article en

Abstract

We describe explicitly the geometric KSBA compactifications, obtained by adding slc surfaces X with ample canonical class, of moduli spaces of Burniat surfaces of degrees K 2 = 5, 4 and 3.

Taiwanese Journal of MathematicsVol. 29(6)
University of Georgia (US)
National Science Foundation
Openalex Percentile: Top 74%
Advanced Numerical Analysis Techniques
DOIOpen Access PDFOpenAlex
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Explicit KSBA Compactifications of Moduli Spaces of Secondary and Tertiary Burniat Surfaces — Xiao Hu, Valery Alexeev · Taiwanese Journal of Mathematics (2025) | TGRS Research Map | TGRS