Journal article

An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts

Abstract:: Even a cursory inspection of the Hodge plot associated with Calabi-Yau threefolds that are hypersurfaces in toric varieties reveals striking structures. These patterns correspond to webs of elliptic-K3 fibrations whose mirror images are also elliptic-K3 fibrations. Such manifolds arise from reflexive polytopes that can be cut into two parts along slices corresponding to the K3 fibers. Any two half-polytopes over a given slice can be combined into a reflexive polytope. This fact, together with a remarkable relation on the additivity of Hodge numbers, explains much of the structure of the observed patterns.

Publication status:: Published

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APA Style

Candelas, P., Constantin, A., & Skarke, H. (2012). An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts. Commun.Math.Phys., 324(3), 937–959.

MLA Style

Candelas, P., et al. “An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts.” Commun.Math.Phys., vol. 324, no. 3, 2012, pp. 937–59.

Chicago Style

Candelas, P, A Constantin, and H Skarke. 2012. “An Abundance of K3 Fibrations from Polyhedra with Interchangeable Parts.” Commun.Math.Phys. 324 (3): 937–59.
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Publisher copy:: 10.1007/s00220-013-1802-2

Authors

+ Candelas, P More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Mathematical Institute
Role:: Author

+ Constantin, A More by this author

Role:: Author

+ Skarke, H More by this author

Role:: Author

Journal:: Commun.Math.Phys. More from this journal
Volume:: 324
Issue:: 3
Pages:: 937-959
Publication date:: 2012-07-19
DOI:: 10.1007/s00220-013-1802-2
EISSN:: 1432-0916
ISSN:: 0010-3616

Keywords:: hep-th

math.AG
Pubs id:: pubs:344410
UUID:: uuid:3ebbb82e-a353-4a0c-89f2-6dde1b3b572c
Local pid:: pubs:344410
Source identifiers:: 344410
Deposit date:: 2013-11-16

Terms of use

Copyright date:: 2012
Notes:: 30 pages, 15 colour figures

Licence:: Terms and Conditions of Use for Oxford University Research Archive

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