论文标题
Del Pezzo歧管上理性曲线空间的不可约性
The irreducibility of the spaces of rational curves on del Pezzo manifolds
论文作者
论文摘要
我们通过分析评估图的纤维来证明PICARD等级1和尺寸至少4的理性曲线空间的不可约性。作为推论,我们在这些情况下证明了几何曼宁的猜想。
We prove the irreducibility of the spaces of rational curves on del Pezzo manifolds of Picard rank 1 and dimension at least 4 by analyzing the fibers of evaluation maps. As a corollary, we prove Geometric Manin's Conjecture in these cases.