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Weierstrass models of elliptic toric K3 hypersurfaces and symplectic cuts

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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https://hal.archives-ouvertes.fr/hal-01202113
Contributor : Vittorio Perduca <>
Submitted on : Friday, September 18, 2015 - 5:15:54 PM
Last modification on : Saturday, April 11, 2020 - 1:57:01 AM

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Antonella Grassi, Vittorio Perduca. Weierstrass models of elliptic toric K3 hypersurfaces and symplectic cuts. Advances in Theoretical and Mathematical Physics, International Press, 2013, 17 (4), pp.741-770. ⟨10.4310/ATMP.2013.v17.n4.a2⟩. ⟨hal-01202113⟩

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