Publication

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

Yohan Cédric Loup Brunebarbe
2016
Journal Articles

Abstract

A compact Kahler manifold X is shown to be simply connected if its 'symmetric cotangent algebra' is trivial. Conjecturally, such a manifold should even be rationally connected. The relative version is also shown: a proper surjective connected holomorphic map f : X -> S between connected manifolds induces an isomorphism of fundamental groups if its smooth fibres are as above, and if X is Kahler.

Official source

Graph Chat

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.

Fundamental Group And Pluridifferentials On Compact Kahler Manifolds

Chat with Graph Search

From low-rank retractions to dynamical low-rank approximation and back

Relative plus constructions

Retraction-based numerical methods for continuation, interpolation and time integration on manifolds