Weierstrass models of elliptic toric K3 hypersurfaces and symplectic cuts
Algebraic Geometry
2012-07-11 v3 High Energy Physics - Theory
Abstract
We study elliptically fibered K3 surfaces, with sections, in toric Fano threefolds 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 in addition other conditions are satisfied, there exists a toric semistable degeneration of the elliptic K3 surface which is compatible with the elliptic fibration and F-theory/Heterotic duality.
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@article{arxiv.1201.0930,
title = {Weierstrass models of elliptic toric K3 hypersurfaces and symplectic cuts},
author = {Antonella Grassi and Vittorio Perduca},
journal= {arXiv preprint arXiv:1201.0930},
year = {2012}
}
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