Lattice duality for coupling pairs admitting polytope duality with trivial toric contribution
Makiko Mase
TL;DR
This paper investigates a lattice duality among families of K3 surfaces linked to coupling pairs with polytope duality and trivial toric contribution, revealing new geometric relationships.
Contribution
It introduces a novel lattice duality framework for K3 surface families associated with specific polytope dualities and trivial toric contributions.
Findings
Established a new duality relation among K3 surface families.
Identified conditions for polytope duality with trivial toric contribution.
Enhanced understanding of lattice structures in algebraic geometry.
Abstract
We study a lattice duality among families of surfaces associated to coupling pairs that admit polytope duality with trivial toric contribution.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometric and Algebraic Topology