Weierstrass models of elliptic toric K3 hypersurfaces and symplectic cuts

作者:Grassi Antonella*; Perduca Vittorio
来源:Advances in Theoretical and Mathematical Physics, 2013, 17(4): 741-770.
DOI:10.4310/ATMP.2013.v17.n4.a2

摘要

We study elliptically fibered K3 surfaces, with sections, in toric Fano 3-folds 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.

  • 出版日期2013