11 papers
Degenerations of elliptic quartics and K-moduli of Fano threefolds
Ivan Cheltsov, Anne-Sophie Kaloghiros, Robert Śmiech +1
We study the K-moduli space of Fano threefolds obtained by first blowing up along an elliptic quartic curve and then blowing up a fiber of the exception…
Projective moduli of log Calabi--Yau fibrations over curves
Giovanni Inchiostro, Junyan Zhao
We introduce a new stability condition for log Calabi--Yau fibrations over curves. We prove that it gives rise to a proper Deligne--Mumford stack with a projective coarse moduli sp…
Deformations of fibered Calabi--Yau varieties
Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5
Kollár showed that small deformations of elliptically fibered smooth -torsion varieties with remain elliptically fibered. We extend this result to any f…
Moduli of surfaces fibered in (log) Calabi-Yau pairs II: elliptic surfaces
Giovanni Inchiostro, Junyan Zhao
This paper continues the study initiated in [ISZ25] on the moduli of surfaces admitting lc-trivial fibrations. Using the techniques developed in [ISZ25], we (1) provide a classific…
Moduli of surfaces fibered in log Calabi-Yau pairs
Giovanni Inchiostro, Roberto Svaldi, Junyan Zhao
We study the moduli spaces of surface pairs admitting a log Calabi--Yau fibration . We develop a series of results on stable reduction and apply them to give a…
On K-stability of Fano's last Fanos
Ivan Cheltsov, DongSeon Hwang, Alex Küronya +5
We study K-stability of smooth Fano threefolds of Picard rank and degree which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^…
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…