Models for elliptic surfaces with a bisection

报告人：Sönke Rollenske（德国Marburg大学）

时  间：2026年9月15日14:30

地  点：海韵园实验楼S306

内容摘要:

In the study of (relatively minimal) elliptic surfaces f: S→ C with a section, the Weierstrass model plays an important role. We discuss two different models for elliptic surfaces with a bisection (or more generally an f-nef divisor which has degree two on the fibres): a birational model induced by the involution on the general fibre and a relative determinantal model coming from the relative section ring. The presence of multiple fibres gives rise to new phenomena, which will be illustrated for Enriques surfaces or rational elliptic surfaces. (joint work with Anna Ulivi and Aline Zanardini)

个人简介：

Sönke Rollenske，德国马堡大学教授。2007年博士毕业于德国拜罗伊特大学，研究领域为代数几何与复几何，在复代数曲面的分类，稳定曲面的模空间，非Kähler流形的几何，全纯辛流形及拉格朗日纤维化，Kähler 微分层的代数性质等诸多问题上都取得了原创性成果，论文发表在Annales scientifiques de l'École normale supérieure, Advances in Mathematics, Mathematische Annalen, Compositio Mathematica 等重要期刊上。

联系人：刘文飞