On the Birational Invariance of the BCOV Torsion of Calabi-Yau Threefolds

Journal article

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.

Authors: Maillot, V; Rössler, D

• Publication status: Published
• Peer review status: Peer reviewed
• Publisher: Springer
• Journal: Communications in Mathematical Physics
• Volume: 311
• Issue: 2
• Pages: 301-316
• Publication date: 2012-03-10
• Acceptance date: 2011-11-03
• DOI: 10.1007/s00220-012-1448-5
• EISSN: 1432-0916
• ISSN: 0010-3616
• Keywords: article; Smooth Projective Variety; Hodge Number; SBTMR; Abelian Variety; Analytic Torsion; Free Sheave