Singularities of metrics on Hodge bundles and their topological invariants
Artikel i vetenskaplig tidskrift, 2018
We consider degenerations of complex projective Calabi-Yau varieties and study the singularities of L2, Quillen and BCOV metrics on Hodge and determinant bundles. The dominant and subdominant terms in the expansions of the metrics close to non-smooth fibers are shown to be related to well-known topological invariants of singularities, such as limit Hodge structures, vanishing cycles and log-canonical thresholds. We also describe corresponding invariants for more general degenerating families in the case of the Quillen metric.
Quillen metric
Log-canonical threshold
Degeneracy index
L -metric 2
Milnor number
BCOV metric
Hodge bundles
Vanishing cycle
Limit Hodge structure
Författare
Dennis Eriksson
Chalmers, Matematiska vetenskaper, Algebra och geometri
Gerard Freixas I. Montplet
Université Pierre et Marie Curie (UPMC)
Christophe Mourougane
Université de Rennes
Algebraic Geometry
2313-1691 (ISSN) 2214-2584 (eISSN)
Vol. 5 6 742-775Ämneskategorier (SSIF 2011)
Algebra och logik
Geometri
Matematisk analys
DOI
10.14231/AG-2018-021