3 citations · 4 across the 5 of their papers we have counts for
5 papers
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…
Improved Error Bounds for Dirichlet-to-Neumann Absorbing Boundaries
Charles Siegel, Avy Soffer, Chris Stucchio
It has long been known how to construct radiation boundary conditions for the time dependent wave equation. Although arguments suggesting that they are accurate have been given, it…