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