Cohomologie de Hochschild et espaces projectifs tronqués |
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| Authors: | R -O Buchweitz M El haouari |
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| Institution: | (1) Dept. of Math. Univ. of Toronto, 100 St. George Street, M5S 1A1 Toronto, Ontario, Canada;(2) Univ. des Sciences et Technologies de Lille, U.F.R. de Mathématiques, URA-GAT-751, 59655 Valleneuve d'Ascq, France |
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| Abstract: | In this paper, we outline the construction of obstructions tok-formality wherek is a field of arbitrary characteristic. We show that the obstructions to intrinsick-formality of a graded algebraH
* lie in the Hochschild cohomologyH H
m,1
(H
*/k, H
*). We calculate explicitly the Hochschild cohomology of the algebraH(ℂP
∞/ℂP
n
;k) and deduce that the stunted complex projective space ℂP
∞/ℂP
n
is intrinsicallyk-formal for any fieldk.
This article was processed by the author using the LATEX style filecljour1 from Springer-Verlag. |
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| Keywords: | |
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