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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Tatsuru Takakura (1996)
Inventiones mathematicae
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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.
Abel G. Wolman (1996)
Journal für die reine und angewandte Mathematik
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Lipman Bers (1975)
Mathematica Scandinavica
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R. Kusner, R. Mazzeo, D. Pollack (1996)
Geometric and functional analysis
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Shigeyuki Kondo (1988)
Inventiones mathematicae
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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...
Lisa C. Jeffrey (1994)
Mathematische Annalen
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Zhenbo Qin (1991)
Manuscripta mathematica
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Izquierdo, Milagros, Singerman, David (1998)
Annales Academiae Scientiarum Fennicae. Mathematica
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Bujalance, E., Costa, A.F., Singerman, D. (1993)
Annales Academiae Scientiarum Fennicae. Series A I. Mathematica
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Curtis McMullen (2013)
Journal of the European Mathematical Society
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We discuss a common framework for studying twists of Riemann surfaces coming from earthquakes, Teichmüller theory and Schiffer variations, and use it to analyze geodesics in the moduli space of isoperiodic 1-forms.
Georg Schumacher (1986)
Mathematische Annalen
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Krzysztof Dabrowski (1982)
Mathematische Annalen
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