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math.AG2026
Global log canonical thresholds for Burniat surfaces and some infinite families of surfaces of general type as -covers
Nguyen Bin, Jheng-Jie Chen, YongJoo Shin
In this paper, we complete the computation of the global log canonical thresholds of Burniat surfaces. Additionally, we determine the global log canonical thresholds for certain in…
math.AG2026
Numerical Godeaux Surfaces with many disjoint -curves and Applications
Yifan Chen, YongJoo Shin
In this paper, over the field of complex numbers, we prove that a numerical Godeaux surface contains at most six pairwise disjoint -curves, and that this bound is sharp. As a…
math.AG2026
A chain of -flips of the moduli spaces of -twisted rank 2 constrained framed Hitchin pairs on a smooth curve
YongJoo Shin, Sang-Bum Yoo
Let be a smooth complex projective curve. We prove that there exists a surjective commutative forgetful diagram from the chain of -flips of the moduli spaces of…