Calculating the Fundamental Group of Galois Cover of the (2,3)-embedding of ℂℙ1 × T
As known to all, it is quite difficult to compute the fundamental group of a surface of general type. In this paper, applying Moishezon-Teicher’s algorithm, we investigate the fundamental group of a special surface of general type with zero topological index, namely, the Galois cover of the (2,3)-em...
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Veröffentlicht in: | Acta mathematica Sinica. English series 2020, Vol.36 (3), p.273-291 |
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Hauptverfasser: | , , , |
Format: | Artikel |
Sprache: | eng |
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Online-Zugang: | Volltext |
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Zusammenfassung: | As known to all, it is quite difficult to compute the fundamental group of a surface of general type. In this paper, applying Moishezon-Teicher’s algorithm, we investigate the fundamental group of a special surface of general type with zero topological index, namely, the Galois cover of the (2,3)-embedding of ℂℙ
1
×
T
. Because the full presentation of the group is very complicated, we compute its special quotient and get an interesting result about its structure. |
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ISSN: | 1439-8516 1439-7617 |
DOI: | 10.1007/s10114-020-9220-9 |