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Digital Object Identifier (DOI) 10.1007/s002229900005 Invent. math. 138, 163181 (1999)
 

Summary: Digital Object Identifier (DOI) 10.1007/s002229900005
Invent. math. 138, 163­181 (1999)
© Springer-Verlag 1999
Cotangent cohomology of rational surface
singularities
Klaus Altmann1
, Jan Stevens2
1 Institut für Reine Mathematik der Humboldt-Universität zu Berlin, Ziegelstr. 13A,
D-10099 Berlin, Germany (e-mail: altmann@mathematik.hu-berlin.de)
2 Matematik, Göteborgs universitet, Chalmers tekniska högskola, SE-412 96 Göteborg,
Sweden (e-mail: stevens@math.chalmers.se)
Oblatum: 18-XI-1998 & 25-III-1999 / Published online: 6 July 1999
Abstract. In this paper we show that the number of generators of the
cotangent cohomology groups Tn
Y , n 2, is the same for all rational surface
singularities Y of fixed multiplicity. For a large class of rational surface
singularities, including quotient singularities, this number is also the di-
mension. For them we obtain an explicit formula for the Poincar´e series
PY (t) = dim Tn
Y · tn

  

Source: Altmann, Klaus - Fachbereich Mathematik und Informatik & Institut für Mathematik, Freie Universität Berlin

 

Collections: Mathematics