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math.AG2026
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…
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
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…