Computational Tools for Cohomology of Toric Varieties
Novel nonstandard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination of the dimension of line-bundle-valued cohomo...
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| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2011-01-01
|
| Series: | Advances in High Energy Physics |
| Online Access: | http://dx.doi.org/10.1155/2011/152749 |
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| _version_ | 1832549886229217280 |
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| author | Ralph Blumenhagen Benjamin Jurke Thorsten Rahn |
| author_facet | Ralph Blumenhagen Benjamin Jurke Thorsten Rahn |
| author_sort | Ralph Blumenhagen |
| collection | DOAJ |
| description | Novel nonstandard techniques for the computation of
cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a
specific computational algorithm for the determination of the dimension of
line-bundle-valued cohomology groups on toric varieties. Applications to the computation of chiral massless matter spectra in string compactifications are discussed, and using the software package cohomCalg, its utility
is highlighted on a new target space dual pair of
(
0
,
2
)
heterotic string models. |
| format | Article |
| id | doaj-art-c8f0e07f08564ef19b0a38dd99305c09 |
| institution | Kabale University |
| issn | 1687-7357 1687-7365 |
| language | English |
| publishDate | 2011-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in High Energy Physics |
| spelling | doaj-art-c8f0e07f08564ef19b0a38dd99305c092025-02-03T06:08:20ZengWileyAdvances in High Energy Physics1687-73571687-73652011-01-01201110.1155/2011/152749152749Computational Tools for Cohomology of Toric VarietiesRalph Blumenhagen0Benjamin Jurke1Thorsten Rahn2Max-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, GermanyMax-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, GermanyMax-Planck-Institut für Physik, Föhringer Ring 6, 80805 München, GermanyNovel nonstandard techniques for the computation of cohomology classes on toric varieties are summarized. After an introduction of the basic definitions and properties of toric geometry, we discuss a specific computational algorithm for the determination of the dimension of line-bundle-valued cohomology groups on toric varieties. Applications to the computation of chiral massless matter spectra in string compactifications are discussed, and using the software package cohomCalg, its utility is highlighted on a new target space dual pair of ( 0 , 2 ) heterotic string models.http://dx.doi.org/10.1155/2011/152749 |
| spellingShingle | Ralph Blumenhagen Benjamin Jurke Thorsten Rahn Computational Tools for Cohomology of Toric Varieties Advances in High Energy Physics |
| title | Computational Tools for Cohomology of Toric Varieties |
| title_full | Computational Tools for Cohomology of Toric Varieties |
| title_fullStr | Computational Tools for Cohomology of Toric Varieties |
| title_full_unstemmed | Computational Tools for Cohomology of Toric Varieties |
| title_short | Computational Tools for Cohomology of Toric Varieties |
| title_sort | computational tools for cohomology of toric varieties |
| url | http://dx.doi.org/10.1155/2011/152749 |
| work_keys_str_mv | AT ralphblumenhagen computationaltoolsforcohomologyoftoricvarieties AT benjaminjurke computationaltoolsforcohomologyoftoricvarieties AT thorstenrahn computationaltoolsforcohomologyoftoricvarieties |