A new inequality on the Hodge number of algebraic surfaces

作者：Lu, Jun; Tan, Sheng-Li^*; Yu, Fei; Zuo, Kang

来源：Mathematische Zeitschrift, 2014, 276(1-2): 543-555.

DOI：10.1007/s00209-013-1212-3

• Hodge number
• Arakelov inequality
• Non-compact Jacobian
• Singular fiber

We get a new inequality on the Hodge number of fibred algebraic complex surfaces , which is a generalization of an inequality of Beauville. Our inequality implies the Arakelov type inequalities due to Arakelov, Faltings, Viehweg and Zuo, respectively.

• 单位
  华东师范大学; 厦门大学