Junyan Zhao

collaborators

9 papers

math.AG2026

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…

math.AG2026

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 $X \subseteq P^{N}$ …

math.AG2026

On K-stability of Fano's last Fanos

Ivan Cheltsov, DongSeon Hwang, Alex KÃ¼ronya +5

We study K-stability of smooth Fano threefolds of Picard rank $2$ and degree $22$ which can be obtained by blowing up a smooth complete intersection of two quadrics in $\mathbb{P}^…

math.AG2026

Deformations of fibered Calabi--Yau varieties

Benjamin Bakker, Kristin DeVleming, Stefano Filipazzi +5

KollÃ¡r showed that small deformations of elliptically fibered smooth $K$ -torsion varieties with $H^{2} (X, O_{X}) = 0$ remain elliptically fibered. We extend this result to any…

math.AG2026

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…

math.AG2026

K-stability of Thaddeus' moduli of stable bundle pairs on genus two curves

Junyan Zhao

The moduli space of bundle stable pairs $M_{C} (2, I^)$ on a smooth projective curve $C$ , introduced by Thaddeus, is a smooth Fano variety of Picard rank two. Focusing on th…