The Witt group of real algebraic varieties

The Witt group of real algebraic varieties
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实代数簇的维特群

DOI:
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发表时间:
2015
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通讯作者:
C. Weibel
C. Weibel
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文献类型:
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作者:
M. Karoubi;M. Schlichting;C. Weibel

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The purpose of this paper is to compare the algebraic Witt group W(V) of quadratic forms for an algebraic variety V over R with a new topological invariant, WR(VC) , based on symmetric forms on Real vector bundles (in the sense of Atiyah) on the space of complex points of V . This invariant lies between W(V) and the group KO(VR) of R ‐linear topological vector bundles on the space VR of real points of V .