代数几何研讨班：The geometry and arithmetic of surface fibrations over rational curves

中科院数学与系统科学研究院

数学研究所

代数几何研讨班

报告人：龚 成 副教授（苏州大学）

题  目：The geometry and arithmetic of surface fibrations over rational curves

时  间：2020.12.17（星期四），16:00-17:30

地  点：晨兴 410

摘  要：Fibrations are important tools to classify algebraic surfaces and to study moduli spaces. Fibrations over rational lines play an important role. Many fibrations with remarkable arithmetic and geometric properties can be obtained from fibrations over rational lines by base changes. My lecture include two parts：（1）Classify fibrations of algebraic surfaces over rational curves, and give its applications. In particular, we hope to complete the problem proposed by Poincaré for Riccati foliation in 1891 (2) Generalize Kodaira’s  canonical formula for elliptic fibration to genus 2 fibration.