Rational curves and strictly nef divisors on Calabi-Yau threefolds
Haidong LiuSun Yat-sen University, Department of Mathematics, Guangzhou, 510275, China
Roberto SvaldiÉcole Polytechnique Fédérale de Lausanne, EPFL SB MATH (Bâtiment MA), Station 8, CH-1015 Lausanne, Switzerland
We give a criterion for a nef divisor to be semi-ample on a Calabi-Yau threefold when and . As a direct consequence, we show that on such a variety , if is strictly nef and , then is ample; we also show that if there exists a Cariter divisor in the boundary of the nef cone of , then contains a rational curve when its topological Euler characteristic is not .
Cite this article
Haidong Liu, Roberto Svaldi, Rational curves and strictly nef divisors on Calabi-Yau threefolds. Doc. Math. 27 (2022), pp. 1581–1604DOI 10.4171/DM/904