Projective moduli of log Calabi--Yau fibrations over curves

2026/07/26 by Giovanni Inchiostro, Junyan Zhao
Mathematics · #math.AG

paper · pdf

Abstract

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 space, whose boundary still parametrizes flat fibrations over curves.

Related

• K-moduli of quasimaps and on quasi-projectivity of moduli of K-stable Calabi-Yau fibrations over curves
• On boundedness and moduli spaces of K-stable Calabi-Yau fibrations over curves
• Log Calabi-Yau fibrations
• Existence of good moduli spaces for A_k-stable curves
• The KSBA moduli space of stable log Calabi-Yau surfaces