Muñoz Porras, J. M.; Plaza Martín, F. J. Equations of the moduli of pointed curves in the infinite Grassmannian. (English) Zbl 1065.14512 J. Differ. Geom. 51, No. 3, 431-469 (1999). Summary: The main result of this paper is the explicit computation of the equations defining the moduli space of triples \((C,p,\phi)\), where \(C\) is an integral and complete algebraic curve, \(p\) a smooth rational point and \(\phi\) a certain isomorphism. This is achieved by introducing algebraically infinite Grassmannians, tau and Baker-Akhiezer functions and by proving an addition formula for tau functions. Cited in 3 ReviewsCited in 12 Documents MSC: 14H70 Relationships between algebraic curves and integrable systems 14F05 Sheaves, derived categories of sheaves, etc. (MSC2010) 14H42 Theta functions and curves; Schottky problem 14L15 Group schemes 22E65 Infinite-dimensional Lie groups and their Lie algebras: general properties 37K20 Relations of infinite-dimensional Hamiltonian and Lagrangian dynamical systems with algebraic geometry, complex analysis, and special functions PDFBibTeX XMLCite \textit{J. M. Muñoz Porras} and \textit{F. J. Plaza Martín}, J. Differ. Geom. 51, No. 3, 431--469 (1999; Zbl 1065.14512) Full Text: DOI arXiv Euclid