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Constructible functions on Artin stacks

Abstract:

Let K be an algebraically closed field, X a K-scheme, and X(K) the set of closed points in X. A constructible set C in X(K) is a finite union of subsets Y(K) for finite type subschemes Y in X. A constructible function f : X(K) --> Q has f(X(K)) finite and f^{-1}(c) constructible for all nonzero c. Write CF(X) for the Q-vector space of constructible functions on X. Let phi : X --> Y and psi : Y --> Z be morphisms of C-varieties. MacPherson defined a Q-linear "pushforward" CF(phi) : ...

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Publication status:
Published

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Publisher copy:
10.1112/S0024610706023180

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Journal:
Journal of the London Mathematical Society 74 (2006), 583-606. More from this journal
Volume:
74
Issue:
03
Pages:
583-606
Publication date:
2004-03-18
DOI:
EISSN:
1469-7750
ISSN:
0024-6107
Keywords:
Pubs id:
pubs:25308
UUID:
uuid:61ff0eb0-5a36-43f4-8906-79b30a9397a2
Local pid:
pubs:25308
Source identifiers:
25308
Deposit date:
2012-12-19

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