Real Kodaira surfaces.

Paola Frediani

Collectanea Mathematica (2004)

  • Volume: 55, Issue: 1, page 61-96
  • ISSN: 0010-0757

Abstract

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In this paper we give the topological classification of real primary Kodaira surfaces and we describe in detail the structure of the corresponding moduli space. Moreover, we use the notion of the orbifold fundamental group of a real variety, which was also the main tool in the classification of real hyperelliptic surfaces achieved in [10]. Our first result is that if (S,sygma) is a real primary Kodaira surface, then the differentiable tupe of the pair (S,sygma) is completely determined by the orbifold fundamental group exact sequence. This result allows us to determine all the possible topological types of (S,sygma). Finally, we show that once we fix the topological type of (S,sygma) corresponding to a real primary Kodaima surface, the corresponding moduli space is irreducible (and connected).

How to cite

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Frediani, Paola. "Real Kodaira surfaces.." Collectanea Mathematica 55.1 (2004): 61-96. <http://eudml.org/doc/44331>.

@article{Frediani2004,
abstract = {In this paper we give the topological classification of real primary Kodaira surfaces and we describe in detail the structure of the corresponding moduli space. Moreover, we use the notion of the orbifold fundamental group of a real variety, which was also the main tool in the classification of real hyperelliptic surfaces achieved in [10]. Our first result is that if (S,sygma) is a real primary Kodaira surface, then the differentiable tupe of the pair (S,sygma) is completely determined by the orbifold fundamental group exact sequence. This result allows us to determine all the possible topological types of (S,sygma). Finally, we show that once we fix the topological type of (S,sygma) corresponding to a real primary Kodaima surface, the corresponding moduli space is irreducible (and connected).},
author = {Frediani, Paola},
journal = {Collectanea Mathematica},
keywords = {Superficies; Variedades; Espacio de moduli; orbifold fundamental group; classification of real surfaces},
language = {eng},
number = {1},
pages = {61-96},
title = {Real Kodaira surfaces.},
url = {http://eudml.org/doc/44331},
volume = {55},
year = {2004},
}

TY - JOUR
AU - Frediani, Paola
TI - Real Kodaira surfaces.
JO - Collectanea Mathematica
PY - 2004
VL - 55
IS - 1
SP - 61
EP - 96
AB - In this paper we give the topological classification of real primary Kodaira surfaces and we describe in detail the structure of the corresponding moduli space. Moreover, we use the notion of the orbifold fundamental group of a real variety, which was also the main tool in the classification of real hyperelliptic surfaces achieved in [10]. Our first result is that if (S,sygma) is a real primary Kodaira surface, then the differentiable tupe of the pair (S,sygma) is completely determined by the orbifold fundamental group exact sequence. This result allows us to determine all the possible topological types of (S,sygma). Finally, we show that once we fix the topological type of (S,sygma) corresponding to a real primary Kodaima surface, the corresponding moduli space is irreducible (and connected).
LA - eng
KW - Superficies; Variedades; Espacio de moduli; orbifold fundamental group; classification of real surfaces
UR - http://eudml.org/doc/44331
ER -

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