Title

On Lang's conjecture for surfaces of general type

Authors

Cong X. Kang, University of Texas of the Permian Basin

Document Type

Article

Publication Source

Communications in Algebra

Publication Date

2003-02-01

Volume

31

Issue

2

First Page

945

Last Page

957

Abstract

Let m be a nonnegative integer. We explicitly bound the number of rational curves with arithmetic genus no greater than m on a surface of general type by geometric invariants of the surface. We also briefly discuss the possibility of bounding all rational curves lying on a surface of general type in ℙ3.

Keywords

BMY inequality, General type varieties, Rational curves

DOI

10.1081/AGB-120017351

Recommended Citation

Kang, Cong X., "On Lang's conjecture for surfaces of general type" (2003). Articles & Book Chapters. 387.
https://digitalcommons.daemen.edu/faculty_scholar/387

https://doi.org/10.1081/AGB-120017351