论文标题
差分层的完整曲线
Complete curves in the strata of differentials
论文作者
论文摘要
Gendron证明,通过将最大模量原理应用于鞍座连接,具有规定的零层差异差异的地层不包含完整的代数曲线。在这里,我们通过在曲线模量空间上使用除数类的积极性来为此结果提供替代证明。
Gendron proved that the strata of holomorphic differentials with prescribed orders of zeros do not contain complete algebraic curves by applying the maximum modulus principle to saddle connections. Here we provide an alternative proof for this result by using positivity of divisor classes on moduli spaces of curves.