Fujita's conjecture for quasi‐elliptic surfaces

Abstract

We show that Fujita's conjecture is true for quasi-elliptic surfaces. Explicitly, for any quasi-elliptic surface 𝑋 and an ample line bundle 𝐴 on 𝑋, we have 𝐾 𝑋 + 𝑡𝐴 is base point free for 𝑡 ≥ 3 and is very ample for 𝑡 ≥ 4.