Ketil Tveiten

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20132021

most citedMirror Symmetry and the Classification of Orbifold del Pezzo Surfaces

59 citations · 83 across the 4 of their papers we have counts for

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math.AG2021★ 24 cited

Maximally Mutable Laurent Polynomials

Tom Coates, Alexander M. Kasprzyk, Giuseppe Pitton +1

We introduce a class of Laurent polynomials, called maximally mutable Laurent polynomials (MMLPs), that we believe correspond under mirror symmetry to Fano varieties. A subclass of…

math.AG2015★ 59 cited

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…

math.AG2015

Period integrals and mutation

Ketil Tveiten

Let $f$ be a Laurent polynomial in two variables, whose Newton polygon strictly contains the origin and whose vertices are primitive lattice points, and let $L_{f}$ be the minimal-or…

math.AG2013

B-Splines, Polytopes and their Characteristic D-Modules

Ketil Tveiten

Given a polytope $σ \subset R^{m}$ , its characteristic distribution $δ_{σ}$ generates a $D$ -module which we call the characteristic $D$ -module of $σ$ and denote by $M_{σ}$ . More…