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

Actions

Email

Email this record

Send the bibliographic details of this record to your email address.

Your Email
Please enter the email address that the record information will be sent to.

-
Your message (optional)
Please add any additional information to be included within the email.
Share
Cite

Cite this record

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.
Print

Access Document

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:: math.AG

hep-th
Pubs id:: pubs:344410
UUID:: uuid:3ebbb82e-a353-4a0c-89f2-6dde1b3b572c
Local pid:: pubs:344410
Source identifiers:: 344410
Deposit date:: 2013-11-16
ARK identifier:: ark:/29072/ora_3ebbb82ea3534a0c89f26dde1b3b572c

Terms of use

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

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

Views and Downloads

About views and downloads

If you are the owner of this record, you can report an update to it here: Report update to this record

TO TOP