We construct a genus 2 crystallization G of the complex projective plane CP^2, whose associated pseudocomplex is composed by five vertices, ten edges, twenty triangles, twenty tetrahedra and eight 4-simplexes. This is proved to be the most "economical" pseudodissection of CP^2. Moreover, by performing the "connectred sum" of two copies of G, we obtain a genus 4 crystallization of the twisted 2-sphere bundle over S^2.

On the genus of the complex projective plane / Gagliardi, Carlo. - In: AEQUATIONES MATHEMATICAE. - ISSN 0001-9054. - STAMPA. - 37:(1989), pp. 130-140.

On the genus of the complex projective plane

GAGLIARDI, Carlo
1989

Abstract

We construct a genus 2 crystallization G of the complex projective plane CP^2, whose associated pseudocomplex is composed by five vertices, ten edges, twenty triangles, twenty tetrahedra and eight 4-simplexes. This is proved to be the most "economical" pseudodissection of CP^2. Moreover, by performing the "connectred sum" of two copies of G, we obtain a genus 4 crystallization of the twisted 2-sphere bundle over S^2.
1989
37
130
140
On the genus of the complex projective plane / Gagliardi, Carlo. - In: AEQUATIONES MATHEMATICAE. - ISSN 0001-9054. - STAMPA. - 37:(1989), pp. 130-140.
Gagliardi, Carlo
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11380/584476
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