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On simplicial commutative algebras with vanishing André-Quillen homology

✍ Scribed by James M. Turner

Publisher
Springer-Verlag
Year
2000
Tongue
English
Weight
93 KB
Volume
142
Category
Article
ISSN
0020-9910

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📜 SIMILAR VOLUMES

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Let I be an ideal of a commutative ring A and B = A/Z. Given n 2 2, we characterize the vanishing of the Andrk-Quillen homology modules r-I,(A, B, W) for all B-modules W and for all p, 2 5 p 5 n, in terms of some canonical morphisms. As a corollary, we obtain a new proof of a theorem of And6 Finally

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In this paper, we introduce a strategy for studying simplicial commutative algebras over general commutative rings R. Given such a simplicial algebra A, this strategy involves replacing A with a connected simplicial commutative k(˝)-algebra A(˝), for each ˝∈ Spec( 0A), which we call the connected co