On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds
Fang et al. (J. Diff. Geom. 80(2):175–259, 2008, Sect. 4, Conj. 4.17) conjecture that a certain spectral string-theoretic invariant of Calabi-Yau threefolds (the BCOV torsion) is a birational invariant. We prove a weak form of this conjecture. The proof combines the arithmetic Riemann-Roch theorem i...
| Main Authors: | , |
|---|---|
| Format: | Journal article |
| Published: |
Springer
2012
|
| _version_ | 1826289318171246592 |
|---|---|
| author | Maillot, V Rössler, D |
| author_facet | Maillot, V Rössler, D |
| author_sort | Maillot, V |
| collection | OXFORD |
| description | Fang et al. (J. Diff. Geom. 80(2):175–259, 2008, Sect. 4, Conj. 4.17) conjecture that a certain spectral string-theoretic invariant of Calabi-Yau threefolds (the BCOV torsion) is a birational invariant. We prove a weak form of this conjecture. The proof combines the arithmetic Riemann-Roch theorem in Arakelov geometry with some inputs from motivic integration theory. |
| first_indexed | 2024-03-07T02:27:03Z |
| format | Journal article |
| id | oxford-uuid:a5f6679f-32f9-4fe4-9424-6772d8d57446 |
| institution | University of Oxford |
| last_indexed | 2024-03-07T02:27:03Z |
| publishDate | 2012 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:a5f6679f-32f9-4fe4-9424-6772d8d574462022-03-27T02:44:01ZOn the Birational Invariance of the BCOV Torsion of Calabi-Yau ThreefoldsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:a5f6679f-32f9-4fe4-9424-6772d8d57446Symplectic Elements at OxfordSpringer2012Maillot, VRössler, DFang et al. (J. Diff. Geom. 80(2):175–259, 2008, Sect. 4, Conj. 4.17) conjecture that a certain spectral string-theoretic invariant of Calabi-Yau threefolds (the BCOV torsion) is a birational invariant. We prove a weak form of this conjecture. The proof combines the arithmetic Riemann-Roch theorem in Arakelov geometry with some inputs from motivic integration theory. |
| spellingShingle | Maillot, V Rössler, D On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds |
| title | On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds |
| title_full | On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds |
| title_fullStr | On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds |
| title_full_unstemmed | On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds |
| title_short | On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds |
| title_sort | on the birational invariance of the bcov torsion of calabi yau threefolds |
| work_keys_str_mv | AT maillotv onthebirationalinvarianceofthebcovtorsionofcalabiyauthreefolds AT rosslerd onthebirationalinvarianceofthebcovtorsionofcalabiyauthreefolds |