论文标题

无限的许多Riemann表面,在Weierstrass点上具有传递作用

Infinitely many Riemann surfaces with transitive action on Weierstrass points

论文作者

Reyes-Carocca, Sebastián, Speziali, Pietro

论文摘要

在此简短说明中,我们证明了许多成对的非同构非近形非透明性riemann表面的存在,其自动形态群在Weierstrass点上作用。我们还发现,在假设它们很简单的情况下,所有这些紧凑的Riemann表面都具有透明度在Weierstrass点上作用的自动形态组。

In this short note, we prove the existence of infinitely many pairwise non-isomorphic non-hyperelliptic Riemann surfaces with automorphism group acting transitively on the Weierstrass points. We also found all those compact Riemann surfaces with automorphism group acting transitively on the Weierstrass points, under the assumption that they are simple.

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