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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
The boundary of K-moduli of prime Fano threefolds of genus twelve
Anne-Sophie Kaloghiros, Yuchen Liu, Andrea Petracci +1
We study the K-moduli stack of prime Fano threefolds of genus twelve, known as . We prove that its boundary, which parametrizes singular members, is purely divisorial and c…