On Lang's conjecture for surfaces of general type
Communications in Algebra
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.
BMY inequality, General type varieties, Rational curves
Kang, Cong X., "On Lang's conjecture for surfaces of general type" (2003). Articles & Book Chapters. 387.