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Equations of the moduli of pointed curves in the infinite Grassmannian

J. M. Muñoz Porras·F. J. Plaza Martín
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Abstract

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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BibTeXRIS

J. M. Muñoz Porras, F. J. Plaza Martín. 1999-02-24. Equations of the moduli of pointed curves in the infinite Grassmannian. https://arxiv.org/abs/alg-geom/9711022

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