3 citations · 4 across the 5 of their papers we have counts for
4 papers · 1 filter
Strongly Cyclic Coverings of Cyclic Curves
Charles Siegel
In this note, we introduce the notion of an unramified strongly cyclic covering for a cyclic curve, a class that has similar properties to, and contains, unramified double covers o…
The Moduli of Klein Covers of Curves
Charles Siegel
We study the moduli space of Klein four covers of genus curves and its natural compactification. This requires the construction of a related space which…
Modular Operads of Embedded Curves
Satoshi Kondo, Charles Siegel, Jesse Wolfson
For each k greater than or equal to 5, we construct a modular operad of "k-log-canonically embedded" curves.
The Schottky problem in genus five
Charles Siegel
In this paper, we present a solution to the Schottky problem in the spirit of Schottky and Jung for genus five curves. To do so, we exploit natural incidence structures on the fibe…