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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Bujalance, Emilio, Costa, Antonio F., Izquierdo, Milagros (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Annales Academiae Scientiarum Fennicae. Mathematica
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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.
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...
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