Journal article

Topological formulae for the zeroth cohomology of line bundles on del Pezzo and Hirzebruch surfaces

Abstract:: We show that the zeroth cohomology of effective line bundles on del Pezzo and Hirzebruch surfaces can always be computed in terms of a topological index.

Publication status:: Published

Peer review status:: Peer reviewed

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APA Style

Brodie, C. R., Constantin, A., Deen, R., & Lukas, A. (2021). Topological formulae for the zeroth cohomology of line bundles on del Pezzo and Hirzebruch surfaces. Complex Manifolds, 8(1), 223–229.

MLA Style

Brodie, C. R., et al. “Topological Formulae for the Zeroth Cohomology of Line Bundles on Del Pezzo and Hirzebruch Surfaces.” Complex Manifolds, vol. 8, no. 1, De Gruyter Open, 2021, pp. 223–29.

Chicago Style

Brodie, CR, A Constantin, R Deen, and A Lukas. 2021. “Topological Formulae for the Zeroth Cohomology of Line Bundles on Del Pezzo and Hirzebruch Surfaces.” Complex Manifolds 8 (1): 223–29.
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Files:: Brodie_et_al_2021_Topological_formulae_for.pdf

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Publisher copy:: 10.1515/coma-2020-0115

Authors

+ Brodie, CR More by this author

Role:: Author

+ Constantin, A More by this author

Role:: Author

+ Deen, R More by this author

Role:: Author

+ Lukas, A More by this author

Institution:: University of Oxford
Division:: MPLS
Department:: Physics
Sub department:: Theoretical Physics
Oxford college:: Balliol College
Role:: Author
ORCID:: 0000-0003-4969-0447

Publisher:: De Gruyter Open
Journal:: Complex Manifolds More from this journal
Volume:: 8
Issue:: 1
Pages:: 223-229
Publication date:: 2021-07-16
Acceptance date:: 2021-06-27
DOI:: 10.1515/coma-2020-0115
EISSN:: 2300-7443

Language:: English
Keywords:: Hirzebruch surfaces

FFR

del Pezzo surfaces

line bundle cohomology
Pubs id:: 1189640
Local pid:: pubs:1189640
Deposit date:: 2021-08-04

Terms of use

Copyright holder:: Brodie et al.
Copyright date:: 2021
Rights statement:: Open Access. © 2021 Callum R. Brodie et al., published by De Gruyter. This work is licensed under the Creative Commons Attribution alone 4.0 License.

Licence:: CC Attribution (CC BY)

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