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math.AG2001
On Algebraic Hyperbolicity of Log Varieties
Xi Chen
Fix a very general hypersurface D in P^n of degree at least 2n + 1 and we show that the complement P^n - D does not contain any algebraic torus C^*.
math.AG2001
On Algebraic Hyperbolicity of Log Surfaces
Xi Chen
We call a log variety (X, D) algebraically hyperbolic if there exists a positive number e such that 2g(C) - 2 + i(C, D) >= e deg(C) for all curves C on X, where i(C, D) is the numb…