SEARCHING FOR K3 FIBRATIONS

Citation
Ac. Avram et al., SEARCHING FOR K3 FIBRATIONS, Nuclear physics. B, 494(3), 1997, pp. 567-589
Citations number
23
Categorie Soggetti
Physics, Nuclear
Journal title
ISSN journal
05503213
Volume
494
Issue
3
Year of publication
1997
Pages
567 - 589
Database
ISI
SICI code
0550-3213(1997)494:3<567:SFKF>2.0.ZU;2-Z
Abstract
We present two methods for studying fibrations of Calabi-Yau manifolds embedded in toric varieties described by single weight systems, We an alyze 184026 such spaces and identify among them the 124701 which are K3 fibrations. As some of the weights give rise to two or three distin ct types of fibrations, the total number we find is 167406, With our m ethods one can also study elliptic fibrations of 3-folds and K3 surfac es. We also calculate the Hedge numbers of the 3-folds obtaining more than three times as many as were previously known. (C) 1997 Elsevier S cience B.V.