A comprehensive treaty devoted to the foundations of the theory of moduli of algebraic curves. The main topics touched upon are the Hilbert scheme, nodal curves, elementary deformation theory, basic notions on algebraic stacks, construction of the moduli space of stable n-pointed curves, line bundles on moduli, projectivity of the moduli spaces of stable curves, Teichmüller space, smooth Galois covers of moduli spaces, cycles in the moduli spaces of stable curves, cellular decomposition of moduli spaces, intersection theory of tautological classes, Brill-Noether theory on a moving curve
Geometry of Algebraic Curves - Volume II
CORNALBA, MAURIZIO DUILIO;
2011-01-01
Abstract
A comprehensive treaty devoted to the foundations of the theory of moduli of algebraic curves. The main topics touched upon are the Hilbert scheme, nodal curves, elementary deformation theory, basic notions on algebraic stacks, construction of the moduli space of stable n-pointed curves, line bundles on moduli, projectivity of the moduli spaces of stable curves, Teichmüller space, smooth Galois covers of moduli spaces, cycles in the moduli spaces of stable curves, cellular decomposition of moduli spaces, intersection theory of tautological classes, Brill-Noether theory on a moving curveFile in questo prodotto:
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