Toric geometry and local Calabi-Yau varieties: An introduction to toric geometry (for physicists)
These lecture notes are an introduction to toric geometry. Particular focus is put on the description of toric local Calabi-Yau varieties, such as needed in applications to the AdS/CFT correspondence in string theory. The point of view taken in these lectures is mostly algebro-geometric but no prior...
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| Formaat: | Journal article |
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2009
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| _version_ | 1826284239155363840 |
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| author | Closset, C |
| author_facet | Closset, C |
| author_sort | Closset, C |
| collection | OXFORD |
| description | These lecture notes are an introduction to toric geometry. Particular focus is put on the description of toric local Calabi-Yau varieties, such as needed in applications to the AdS/CFT correspondence in string theory. The point of view taken in these lectures is mostly algebro-geometric but no prior knowledge of algebraic geometry is assumed. After introducing the necessary mathematical definitions, we discuss the construction of toric varieties as holomorphic quotients. We discuss the resolution and deformation of toric Calabi-Yau singularities. We also explain the gauged linear sigma-model (GLSM) Kahler quotient construction. |
| first_indexed | 2024-03-07T01:10:53Z |
| format | Journal article |
| id | oxford-uuid:8cf69c51-4b51-44c2-adf3-1a9686f5996c |
| institution | University of Oxford |
| last_indexed | 2024-03-07T01:10:53Z |
| publishDate | 2009 |
| record_format | dspace |
| spelling | oxford-uuid:8cf69c51-4b51-44c2-adf3-1a9686f5996c2022-03-26T22:48:04ZToric geometry and local Calabi-Yau varieties: An introduction to toric geometry (for physicists)Journal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:8cf69c51-4b51-44c2-adf3-1a9686f5996cSymplectic Elements at Oxford2009Closset, CThese lecture notes are an introduction to toric geometry. Particular focus is put on the description of toric local Calabi-Yau varieties, such as needed in applications to the AdS/CFT correspondence in string theory. The point of view taken in these lectures is mostly algebro-geometric but no prior knowledge of algebraic geometry is assumed. After introducing the necessary mathematical definitions, we discuss the construction of toric varieties as holomorphic quotients. We discuss the resolution and deformation of toric Calabi-Yau singularities. We also explain the gauged linear sigma-model (GLSM) Kahler quotient construction. |
| spellingShingle | Closset, C Toric geometry and local Calabi-Yau varieties: An introduction to toric geometry (for physicists) |
| title | Toric geometry and local Calabi-Yau varieties: An introduction to toric
geometry (for physicists) |
| title_full | Toric geometry and local Calabi-Yau varieties: An introduction to toric
geometry (for physicists) |
| title_fullStr | Toric geometry and local Calabi-Yau varieties: An introduction to toric
geometry (for physicists) |
| title_full_unstemmed | Toric geometry and local Calabi-Yau varieties: An introduction to toric
geometry (for physicists) |
| title_short | Toric geometry and local Calabi-Yau varieties: An introduction to toric
geometry (for physicists) |
| title_sort | toric geometry and local calabi yau varieties an introduction to toric geometry for physicists |
| work_keys_str_mv | AT clossetc toricgeometryandlocalcalabiyauvarietiesanintroductiontotoricgeometryforphysicists |