5 papers · 1 filter
K-stability of Thaddeus' moduli of stable bundle pairs on genus two curves
Junyan Zhao
The moduli space of bundle stable pairs on a smooth projective curve , introduced by Thaddeus, is a smooth Fano variety of Picard rank two. Focusing on the…
Moduli of elliptic surfaces of Kodaira dimension one fibered over rational curves
Dori Bejleri, Josiah Foster, Andres Fernandez Herrero +3
In this article, we construct an infinite sequence of irreducible components of Kollár--Shepherd-Barron (KSB-) moduli spaces of surfaces of arbitrarily large volumes, and describe…
K-moduli of log del Pezzo pairs and variations of GIT
Jesus Martinez-Garcia, Theodoros Stylianos Papazachariou, Junyan Zhao
We study the K-moduli of log del Pezzo pairs formed by a del Pezzo surface of degree and an anti-canonical divisor. These moduli spaces naturally depend on one parameter, provi…
Curves on complete intersections and measures of irrationality
Nathan Chen, Benjamin Church, Junyan Zhao
We study the minimal degrees and gonalities of curves on complete intersections. We prove that the degree of any curve on a general complete intersection …
K-moduli of Fano threefolds and genus four curves
Yuchen Liu, Junyan Zhao
In this article, we study the K-moduli space of Fano threefolds obtained by blowing up along -complete intersection curves. This K-moduli space is a two-step…