TOPOLOGICAL CLASSIFICATION OF COMPACT SURFACES WITH NODES OF GENUS 2
We associate to each Riemann or Klein surface with nodes a graph that classifies it up homeomorphism. We obtain that, for surfaces of genus two, there are 7 topological types of stable Riemann surfaces, 33 topological types of stable Klein surfaces and 35 topological types of symmetric stable Rieman...
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| Lenguaje: | English |
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Universidad Católica del Norte, Departamento de Matemáticas
2005
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oai:scielo:S0716-091720050003000052006-03-10TOPOLOGICAL CLASSIFICATION OF COMPACT SURFACES WITH NODES OF GENUS 2GARIJO,IGNACIOWe associate to each Riemann or Klein surface with nodes a graph that classifies it up homeomorphism. We obtain that, for surfaces of genus two, there are 7 topological types of stable Riemann surfaces, 33 topological types of stable Klein surfaces and 35 topological types of symmetric stable Riemann surfaces (this last type of surfaces corresponds to the new surfaces appearing in the compactification of the Moduli space of real algebraic curves, see [Se] and [Si]info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.24 n.3 20052005-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000300005en10.4067/S0716-09172005000300005 |
| institution |
Scielo Chile |
| collection |
Scielo Chile |
| language |
English |
| description |
We associate to each Riemann or Klein surface with nodes a graph that classifies it up homeomorphism. We obtain that, for surfaces of genus two, there are 7 topological types of stable Riemann surfaces, 33 topological types of stable Klein surfaces and 35 topological types of symmetric stable Riemann surfaces (this last type of surfaces corresponds to the new surfaces appearing in the compactification of the Moduli space of real algebraic curves, see [Se] and [Si] |
| author |
GARIJO,IGNACIO |
| spellingShingle |
GARIJO,IGNACIO TOPOLOGICAL CLASSIFICATION OF COMPACT SURFACES WITH NODES OF GENUS 2 |
| author_facet |
GARIJO,IGNACIO |
| author_sort |
GARIJO,IGNACIO |
| title |
TOPOLOGICAL CLASSIFICATION OF COMPACT SURFACES WITH NODES OF GENUS 2 |
| title_short |
TOPOLOGICAL CLASSIFICATION OF COMPACT SURFACES WITH NODES OF GENUS 2 |
| title_full |
TOPOLOGICAL CLASSIFICATION OF COMPACT SURFACES WITH NODES OF GENUS 2 |
| title_fullStr |
TOPOLOGICAL CLASSIFICATION OF COMPACT SURFACES WITH NODES OF GENUS 2 |
| title_full_unstemmed |
TOPOLOGICAL CLASSIFICATION OF COMPACT SURFACES WITH NODES OF GENUS 2 |
| title_sort |
topological classification of compact surfaces with nodes of genus 2 |
| publisher |
Universidad Católica del Norte, Departamento de Matemáticas |
| publishDate |
2005 |
| url |
http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000300005 |
| work_keys_str_mv |
AT garijoignacio topologicalclassificationofcompactsurfaceswithnodesofgenus2 |
| _version_ |
1718439743929188352 |