Complex surfaces with equivalent derived categories
We examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves D(X). To do this we find, for each such surface X, the set of surfaces Y for which there exists a Fourier-Mukai transform D(Y) → D(X).
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
| Published: |
2001
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| _version_ | 1826278930307350528 |
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| author | Bridgeland, T Maciocia, A |
| author_facet | Bridgeland, T Maciocia, A |
| author_sort | Bridgeland, T |
| collection | OXFORD |
| description | We examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves D(X). To do this we find, for each such surface X, the set of surfaces Y for which there exists a Fourier-Mukai transform D(Y) → D(X). |
| first_indexed | 2024-03-06T23:51:17Z |
| format | Journal article |
| id | oxford-uuid:72af7347-f510-49d6-b845-ccef7248f2f8 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-06T23:51:17Z |
| publishDate | 2001 |
| record_format | dspace |
| spelling | oxford-uuid:72af7347-f510-49d6-b845-ccef7248f2f82022-03-26T19:51:40ZComplex surfaces with equivalent derived categoriesJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:72af7347-f510-49d6-b845-ccef7248f2f8EnglishSymplectic Elements at Oxford2001Bridgeland, TMaciocia, AWe examine the extent to which a smooth minimal complex projective surface X is determined by its derived category of coherent sheaves D(X). To do this we find, for each such surface X, the set of surfaces Y for which there exists a Fourier-Mukai transform D(Y) → D(X). |
| spellingShingle | Bridgeland, T Maciocia, A Complex surfaces with equivalent derived categories |
| title | Complex surfaces with equivalent derived categories |
| title_full | Complex surfaces with equivalent derived categories |
| title_fullStr | Complex surfaces with equivalent derived categories |
| title_full_unstemmed | Complex surfaces with equivalent derived categories |
| title_short | Complex surfaces with equivalent derived categories |
| title_sort | complex surfaces with equivalent derived categories |
| work_keys_str_mv | AT bridgelandt complexsurfaceswithequivalentderivedcategories AT maciociaa complexsurfaceswithequivalentderivedcategories |