On the Moduli of Curves on Rational Ruled Surfaces
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Here the author studies the coarse moduli space of curves on a rational geometrically ruled surface \(F_ e\). For an open very explicit subset of these curves the author gets a fine moduli scheme. The key tool is the geometric invariant theory for actions of non reductive groups developed by the author in Compos. Math. 55, 63-87 (1985; Zbl 0577.14037).
Algebraic moduli problems, moduli of vector bundles, Geometric invariant theory, Group actions on varieties or schemes (quotients), coarse moduli space of curves on a rational geometrically ruled surface, Families, moduli of curves (algebraic), Fine and coarse moduli spaces, geometric invariant theory for actions of non reductive groups
Algebraic moduli problems, moduli of vector bundles, Geometric invariant theory, Group actions on varieties or schemes (quotients), coarse moduli space of curves on a rational geometrically ruled surface, Families, moduli of curves (algebraic), Fine and coarse moduli spaces, geometric invariant theory for actions of non reductive groups
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