Limits of Calabi-yau Metrics When the K ¨ Ahler Class Degenerates

Content Provider	Semantic Scholar
Author	Tosatti, Valentino
Copyright Year	2009
Abstract	We study the behaviour of families of Ricci-flat Kähler metrics on a projective Calabi-Yau manifold when the Kähler classes degenerate to the boundary of the ample cone. We prove that if the limit class is big and nef the Ricci-flat metrics converge smoothly on compact sets outside a subvariety to a limit incomplete Ricci-flat metric. The limit can also be understood from algebraic geometry.
File Format	PDF HTM / HTML
Alternate Webpage(s)	http://arxiv.org/pdf/0710.4579v5.pdf
Language	English
Access Restriction	Open
Subject Keyword	Abnormal degeneration Class Cone (formal languages) Converge Linear algebra Nef polygon Partial Smoothing YAU 17, (trans)-isomer manifold
Content Type	Text
Resource Type	Article