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

Gabriele Mondello

Journal of the European Mathematical Society (2008)

  • Volume: 010, Issue: 1, page 231-241
  • ISSN: 1435-9855

Abstract

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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.

How to cite

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Mondello, Gabriele. "A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces." Journal of the European Mathematical Society 010.1 (2008): 231-241. <http://eudml.org/doc/277709>.

@article{Mondello2008,
abstract = {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.},
author = {Mondello, Gabriele},
journal = {Journal of the European Mathematical Society},
keywords = {reaction-diffusion-convection equation; selfsimilar solution; blow-up on the boundary},
language = {eng},
number = {1},
pages = {231-241},
publisher = {European Mathematical Society Publishing House},
title = {A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces},
url = {http://eudml.org/doc/277709},
volume = {010},
year = {2008},
}

TY - JOUR
AU - Mondello, Gabriele
TI - A remark on the homotopical dimension of some moduli spaces of stable Riemann surfaces
JO - Journal of the European Mathematical Society
PY - 2008
PB - European Mathematical Society Publishing House
VL - 010
IS - 1
SP - 231
EP - 241
AB - 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.
LA - eng
KW - reaction-diffusion-convection equation; selfsimilar solution; blow-up on the boundary
UR - http://eudml.org/doc/277709
ER -

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