Actions of the group of homeomorphisms of the circle on surfaces

Emmanuel Militon

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Mapping class groups of non-orientable surfaces for beginners

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The present paper is the notes of a mini-course addressed mainly to non-experts. Its purpose is to provide a first approach to the theory of mapping class groups of non-orientable surfaces.

Cut loci of closed surfaces without conjugate points

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Two remarks about surfaces

Wilczyński, Władysław, Rzepecka, Genowefa (2015-11-26T16:01:41Z)

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D. Koutroufiotis, B. Wegner (1977)

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A note on Z/p/-actions on K3 surfaces in odd characteristic p.

Keiji Oguiso (1990)

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Steven Dale Cutkosky (2013)

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We give a simpler and more conceptual proof of toroidalization of morphisms of 3-folds to surfaces, over an algebraically closed field of characteristic zero. A toroidalization is obtained by performing sequences of blow ups of nonsingular subvarieties above the domain and range, to make a morphism toroidal. The original proof of toroidalization of morphisms of 3-folds to surfaces is much more complicated.