Equations of the moduli of pointed curves in the infinite Grassmannian

Details Equations of the moduli of pointed curves in the infinite Grassmannian Equations of the moduli of pointed curves in the infinite Grassmannian

1997-11-19

arxiv.org/abs/alg-geom/9711022v2

Physics

High Energy Physics

High Energy Physics - Theory

Final version to appear in Journal of Differential Geometry. Some mistakes involving addition formulas for points of arbitrary

Scientific paper

The main result of this paper is the explicit computation of the equations defining the moduli space of triples $(C,p,z)$ (where $C$ is an integral and complete algebraic curve, $p$ a smooth rational point and $z$ a formal trivialization around $p$) in the infinite Grassmannian of $k((t))$. This is achieved by introducing infinite Grassmannians, tau and Baker-Ahkiezer functions algebraically and by proving an Addition Formula for tau functions.

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