Talk page
Title:
Holomorphic fibrations on Calabi-Yau manifolds and collapsing
Speaker:
Abstract:
Consider a compact Calabi-Yau manifolds with a holomorphic fibration onto a lower-dimensional base. Pulling back a Kahler class from the base, we obtain a class on the boundary of the Kahler cone, which is a limit of Kahler classes. These classes contain Ricci-flat metrics, which in the limit collapse to a twisted Kahler-Einstein metric on the base (away from the singular fibers). Furthermore if we rescale so that the fibers have fixed size, then away from the singular fibers the limit is a cylinder over a Ricci-flat fiber. This is based on joint work with Weinkove and Yang, with Hein and with Zhang, and is directly related to the topic of the talk by Mark Gross
Link:
Workshop: