Displaying similar documents to “Equivariant counts of points of the moduli spaces of pointed hyperelliptic curves.”

Generalised elliptic functions

Matthew England, Chris Athorne (2012)

Open Mathematics


We consider multiply periodic functions, sometimes called Abelian functions, defined with respect to the period matrices associated with classes of algebraic curves. We realise them as generalisations of the Weierstraß ℘-function using two different approaches. These functions arise naturally as solutions to some of the important equations of mathematical physics and their differential equations, addition formulae, and applications have all been recent topics of study. The first approach...