solidot新版网站常见问题,请点击这里查看。
消息
本文已被查看108次
Calabi-Yau orbifolds over Hitchin bases. (arXiv:1807.05134v1 [math.AG])
来源于:arXiv
Any irreducible Dynkin diagram $\Delta$ is obtained from an irreducible
Dynkin diagram $\Delta_h$ of type $\mathrm{ADE}$ by folding via graph
automorphisms. For any simple complex Lie group $G$ with Dynkin diagram
$\Delta$ and compact Riemann surface $\Sigma$, we give a Lie-theoretic
construction of families of quasi-projective Calabi-Yau threefolds together
with an action of graph automorphisms over the Hitchin base associated to the
pair $(\Sigma, G)$ . These give rise to Calabi-Yau orbifolds over the same
base. Their intermediate Jacobian fibration, constructed in terms of
equivariant cohomology, is isomorphic to the Hitchin system of the same type
away from singular fibers. 查看全文>>