Journal title
Communications in Mathematical Physics
DOI
10.1007/s00220-012-1448-5
Issue
2
Volume
311
Last updated
2024-04-07T00:31:44.92+01:00
Page
301-316
Abstract
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.
Symplectic ID
745037
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Publication type
Journal Article
Publication date
10 Mar 2012