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, σ) is a real primary Kodaira surface, then the differentiable type of the pair (S, σ) is completely determined by the orbifold fundamental group exact sequence. This result allows us to determine all the possible topological types of (S, σ). Finally, we show that once we fix the topological type of (S, σ) corresponding to a real primary Kodaira surface, the corresponding moduli space is irreducible (and connected).

Real Kodaira Surfaces

FREDIANI, PAOLA
2004-01-01

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, σ) is a real primary Kodaira surface, then the differentiable type of the pair (S, σ) is completely determined by the orbifold fundamental group exact sequence. This result allows us to determine all the possible topological types of (S, σ). Finally, we show that once we fix the topological type of (S, σ) corresponding to a real primary Kodaira surface, the corresponding moduli space is irreducible (and connected).
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11571/133623
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus ND
  • ???jsp.display-item.citation.isi??? 3
social impact