Cohomology with supports
نویسندگان
چکیده
منابع مشابه
Cohomology on Toric Varieties and Local Cohomology with Monomial Supports
In this note we describe aspects of the cohomology of coherent sheaves on a complete toric variety X over a field k and, more generally, the local cohomology, with supports in a monomial ideal, of a finitely generated module over a polynomial ring S. This leads to an efficient way of computing such cohomology, for which we give explicit algorithms. The problem is finiteness. The ith local cohom...
متن کاملHodge Theory and Cohomology with Compact Supports
This paper constructs a Hodge theory of noncompact topologically tame manifolds M . The main result is an isomorphism between the de Rham cohomology with compact supports of M and the kernel of the Hodge–Witten–Bismut Laplacian △μ associated to a measure dμ which has sufficiently rapid growth at infinity on M . This follows from the construction of a space of forms associated to △μ which satisf...
متن کاملO-minimal sheaf cohomology with supports
Here we prove the existence of sheaf cohomology theory with supports in arbitrary o-minimal structures. ∗With partial support from the FCT (Fundação para a Ciência e Tecnologia), program POCTI (Portugal/FEDER-EU). MSC: 03C64; 55N30.
متن کاملCohomology with Proper Supports and Ehresmann’s Theorem
2 Cohomology with Proper Supports In our étale cohomology setting, however, j! no longer sends injectives to injectives, and the isomorphism (1.1) may not hold. Consider the following example: Example 2.1. Consider f : AC → C. A closed subset of AC is either the entire line AC or a finite set of closed points, so for any sheaf F on AC, if a section s ∈ Γ(AC,F) has proper support, then supp(s) m...
متن کاملO-minimal cohomology with definably compact supports
We define here the o-minimal cohomology theory with definably compact supports and prove that this theory is invariant in elementary extensions, in o-minimal expansions and coincides with its topological analogue for o-minimal structures in the real numbers. As an application we show that on definably locally compact definable sets the o-minimal Euler characteristic coincides with the Euler-Poi...
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ژورنال
عنوان ژورنال: Pacific Journal of Mathematics
سال: 1986
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.1986.123.447