Deformations and moduli of Riemann Surfaces with nodes and signatures.

Lipman Bers

Displaying similar documents to “Deformations and moduli of Riemann Surfaces with nodes and signatures.”

A note on isolated points in the branch locus of the moduli space of compact Riemann surfaces.

Bujalance, Emilio, Costa, Antonio F., Izquierdo, Milagros (1998)

Annales Academiae Scientiarum Fennicae. Mathematica

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Parametrization of the moduli space of hyperelliptic and symmetric Riemann surfaces.

Costa, A.F., Martínez, E. (1997)

Annales Academiae Scientiarum Fennicae. Mathematica

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Degeneration of Riemann surfaces and intermediate polarization of the moduli space of flat connections.

Tatsuru Takakura (1996)

Inventiones mathematicae

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The geometric quantization of the moduli space of Riemann surfaces with even spin structure.

Abel G. Wolman (1996)

Journal für die reine und angewandte Mathematik

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A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces

Gabriele Mondello (2008)

Journal of the European Mathematical Society

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Using a result of Harer, we prove certain upper bounds for the homotopical/cohomological dimension of the moduli spaces of Riemann surfaces of compact type, of Riemann surfaces with rational tails and of Riemann surfaces with at most k rational components. These bounds would follow from conjectures of Looijenga and Roth–Vakil.

The Moduli Space of Complete Embedded Constant Mean Cuvature Surfaces.

R. Kusner, R. Mazzeo, D. Pollack (1996)

Geometric and functional analysis

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Moduli stacks of polarized K3 surfaces in mixed characteristic

Rizov, Jordan (2006)

Serdica Mathematical Journal

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2000 Mathematics Subject Classification: 14J28, 14D22. In this note we define moduli stacks of (primitively) polarized K3 spaces. We show that they are representable by Deligne-Mumford stacks over Spec(Z). Further, we look at K3 spaces with a level structure. Our main result is that the moduli functors of K3 spaces with a primitive polarization of degree 2d and a level structure are representable by smooth algebraic spaces over open parts of Spec(Z). To do this we use ideas...