K\"ahler Solvmanifolds
微分几何
2007-05-23 v2 代数几何
摘要
Compact K\"ahler solvmanifolds are classified up to biholomorphism. A proof of a conjecture Benson and Gordon, that completely solvable compact K\"ahler solvmanifolds are tori is deduced from this. The main ingredient in the proof is a restriction theorem for polycyclic K\"ahler groups proved by Nori and the author.
引用
@article{arxiv.math/0306368,
title = {K\"ahler Solvmanifolds},
author = {Donu Arapura},
journal= {arXiv preprint arXiv:math/0306368},
year = {2007}
}
备注
5 pages, latex; important references added