Four-dimensional Fano toric complete intersections
Tom Coates, Alexander Kasprzyk, Thomas Prince
TL;DR
This paper reports the discovery of at least 527 new four-dimensional Fano manifolds, expanding the known classifications by constructing them as complete intersections within smooth toric Fano manifolds.
Contribution
It introduces a large new class of four-dimensional Fano manifolds as complete intersections in toric Fano varieties, significantly advancing the classification.
Findings
At least 527 new four-dimensional Fano manifolds identified
All manifolds constructed as complete intersections in toric Fano varieties
Expands the known landscape of four-dimensional Fano manifolds
Abstract
We find at least 527 new four-dimensional Fano manifolds, each of which is a complete intersection in a smooth toric Fano manifold.
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