10 papers · 1 filter
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}^…