Weierstrass models of elliptic toric $K3$ hypersurfaces and symplectic cuts
Weierstrass models of elliptic toric $K3$ hypersurfaces and symplectic cuts
We study elliptically fibered K3 surfaces, with sections, in toric Fano 3folds which satisfy certain combinatorial properties relevant to F-theory/ heterotic duality.We show that some of these conditions are equivalent to the existence of an appropriate notion of a Weierstrass model adapted to the toric context.Moreover, we show that if …