Open AccessOn the Poincaré series for a plane divisorial valuation
Author(s) -
Carlos Galindo
Publication year - 1995
Publication title -
bulletin of the belgian mathematical society - simon stevin
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.36
H-Index - 31
eISSN - 2034-1970
pISSN - 1370-1444
DOI - 10.36045/bbms/1103408776
Subject(s) - poincaré series , valuation (finance) , mathematics , geodetic datum , series (stratigraphy) , computation , algebraic number , graph , poincaré conjecture , dual graph , pure mathematics , discrete mathematics , algorithm , mathematical analysis , planar graph , geodesy , economics , finance , paleontology , biology , geography
We introduce the Poincar e series for a divisorial valuation v and prove that this series is an equivalent algebraic datum to the dual graph of v .W e give an explicit computation of the Poincar es eries.
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