Semi algebraic Borel-Moore-homology
نویسندگان
چکیده
منابع مشابه
Oriented Cohomology, Borel-moore Homology and Algebraic Cobordism
We examine various versions of oriented cohomology and BorelMoore homology theories in algebraic geometry and put these two together in the setting of an “oriented duality theory”, a generalization of Bloch-Ogus twisted duality theory. We apply this to give a Borel-Moore homology version MGL ∗,∗ of Voevodsky’s MGL-theory, and a natural map θ : Ω∗ → MGL 2∗,∗ , where Ω∗ is the algebraic cobordism...
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1.1. For a finite type separated Deligne-Mumford stack X/k and integer i, the i-th `-adic Borel-Moore homology group of X, denoted Hi(X), is defined to be H (X,ΩX), where ΩX ∈ D c(X,Q`) is the `-adic dualizing complex of X. These groups were considered already by Laumon in [17] (and, we have been informed, by Grothendieck in unpublished work), where he showed they enjoyed a number of good prope...
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ژورنال
عنوان ژورنال: Rocky Mountain Journal of Mathematics
سال: 1984
ISSN: 0035-7596
DOI: 10.1216/rmj-1984-14-4-987