16 citations · 96 across the 19 of their papers we have counts for
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math.AG2017
ADE surfaces and their moduli
Valery Alexeev, Alan Thompson
We define a class of surfaces corresponding to the ADE root lattices and construct compactifications of their moduli spaces as quotients of projective varieties for Coxeter fans, g…
math.AG2017★ 3 cited
Mirror Symmetry for Lattice Polarized del Pezzo Surfaces
Charles F. Doran, Alan Thompson
We describe a notion of lattice polarization for rational elliptic surfaces and weak del Pezzo surfaces, and describe the complex moduli of the former and the Kähler cone of the la…
math.AG2017★ 9 cited
Calabi-Yau threefolds fibred by high rank lattice polarized K3 surfaces
Charles F. Doran, Andrew Harder, Andrey Y. Novoseltsev +1
We study threefolds fibred by K3 surfaces admitting a lattice polarization by a certain class of rank 19 lattices. We begin by showing that any family of such K3 surfaces is comple…