论文标题
雅各布人的商
Quotients of Jacobians
论文作者
论文摘要
令C为G属的曲线,G是C的有限自动形态。我们证明,对于G> 20,商JC/G具有规范的奇异性,因此Kodaira尺寸为0。另一方面,我们给出了曲线c的示例,其g <5 g <5 jc/g的曲线是未释放的。
Let C be a curve of genus g, and G a finite group of automorphisms of C . We prove that for g > 20 the quotient JC/G has canonical singularities, hence Kodaira dimension 0. On the other hand we give examples of curves C with g < 5 for which JC/G is uniruled.