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. © 2013 International Press.
Weierstrass models of elliptic toric K3 hypersurfaces and symplectic cuts / Grassi, Antonella; Perduca, Vittorio. - In: ADVANCES IN THEORETICAL AND MATHEMATICAL PHYSICS. - ISSN 1095-0761. - ELETTRONICO. - 17:4(2013), pp. 741-770. [10.4310/ATMP.2013.v17.n4.a2]
Weierstrass models of elliptic toric K3 hypersurfaces and symplectic cuts
Grassi, Antonella;
2013
Abstract
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. © 2013 International Press.File | Dimensione | Formato | |
---|---|---|---|
Perduca.pdf
accesso aperto
Tipo:
Versione (PDF) editoriale
Licenza:
Licenza per accesso libero gratuito
Dimensione
271.83 kB
Formato
Adobe PDF
|
271.83 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.