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- Title
On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds.
- Authors
Maillot, V.; Rössler, D.
- Abstract
Fang et al. (J. Diff. Geom. 80(2):175-259, , 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.
- Subjects
MATHEMATICAL symmetry; TORSION; CALABI-Yau manifolds; THREEFOLDS (Algebraic geometry); INVARIANT measures; RIEMANN-Roch theorems; ARAKELOV theory
- Publication
Communications in Mathematical Physics, 2012, Vol 311, Issue 2, p301
- ISSN
0010-3616
- Publication type
Article
- DOI
10.1007/s00220-012-1448-5