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math.AG2023
On K-moduli of Fano threefolds with degree 28 and Picard rank 4
Liana Heuberger, Andrea Petracci
We analyse the local structure of the K-moduli space of Fano varieties at a toric singular K-polystable Fano 3-fold, which deforms to smooth Fano 3-folds with anticanonical volume…
math.AG2022
Mirror Symmetry, Laurent Inversion and the Classification of -Fano Threefolds
Tom Coates, Liana Heuberger, Alexander M. Kasprzyk
We describe recent progress in a program to understand the classification of three-dimensional Fano varieties with -factorial terminal singularities using mirror symmet…
math.AG2015
Anticanonical divisors on Fano fourfolds
Liana Heuberger
In this paper we show that a general element of on a four-dimensional Fano manifold has at most terminal singularities. We then determine an explicit local expression of t…