59 citations · 66 across the 8 of their papers we have counts for
8 papers
Quiver semi-invariants and SAGBI bases
Liana Heuberger, Elana Kalashnikov
We introduce a new combinatorial structure of linked tableaux, which generalize the semi-standard tableaux that index a SAGBI basis of the Plücker coordinate ring of a flag variety…
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…
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…
-Fano threefolds and Laurent inversion
Liana Heuberger
We construct families of non-toric -factorial terminal Fano (-Fano) threefolds of codimension corresponding to 54 mutation classes of rigid maxima…
Combinatorial Reid's recipe for consistent dimer models
Alastair Craw, Liana Heuberger, Jesus Tapia Amador
Reid's recipe for a finite abelian subgroup is a combinatorial procedure that marks the toric fan of the -Hilbert scheme with irreducible repr…
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…
Del Pezzo surfaces with 1/3(1,1) points
Alessio Corti, Liana Heuberger
We classify del Pezzo surfaces with 1/3(1,1) points in 29 qG-deformation families grouped into six unprojection cascades (this overlaps with work of Fujita and Yasutake), we tabula…
Mirror Symmetry and the Classification of Orbifold del Pezzo Surfaces
Mohammad Akhtar, Tom Coates, Alessio Corti +6
We state a number of conjectures that together allow one to classify a broad class of del Pezzo surfaces with cyclic quotient singularities using mirror symmetry. We prove our conj…