Lattice duality for families of K3 surfaces associated to transpose duality

2017/04/06 by Mase, Makiko
#14J28 14M25 14C22 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1704.01671

Abstract

The aim of this article is to show that the transpose-dual pairs in the sense of Ebeling-Ploog of singularities (Z_1,0, Z_1,0), (U_1,0, U_1,0), (Q₁₇, Z_2,0), (W_1,0, W_1,0) that are concluded to be polytope-dual by the author are actually lattice-dual.

Related

• Polytope duality for families of K3 surfaces associated to singularities Q₁₆ and S₁₆
• Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution
• Polytope duality for families of K3 surfaces and coupling
• Mirror constructions for K3 surfaces from bimodal singularities
• Transcendental lattices of certain singular K3 surfaces