5 papers · 1 filter
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…
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…
A two-dimensional family of surfaces of general type with and
Yifan Chen, YongJoo Shin
We study the construction of complex minimal smooth surfaces of general type with and . Inoue constructed the first examples of such surfaces, which can be…
Global log canonical thresholds of minimal -surfaces
In-Kyun Kim, YongJoo Shin, Joonyeong Won
Let be a minimal surface of general type with and , so called by a minimal -surface. Then we obtain that the global log canonical threshold of the su…
A Characterization of Inoue Surfaces with and
Yifan Chen, YongJoo Shin
Inoue constructed the first examples of smooth minimal complex surfaces of general type with and .These surfaces are finite Galois covers of the -nodal cubic surf…