K 0 of hypersurfaces defined by x 1 2 +... + x n 2 = ±1

Manoj K. Keshari () and Satya Mandal ()
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Manoj K. Keshari: IIT Mumbai
Satya Mandal: University of Kansas

Indian Journal of Pure and Applied Mathematics, 2013, vol. 44, issue 2, 119-129

Abstract: Abstract Let k be a field of characteristic ≠ 2 and let Q n,m (x 1, ..., x n , y 1, ..., y m ) = x 1 2 +...+x n 2 − (y 1 2 +...+y m 2 ) be a quadratic form over k. Let R(Q n,m ) = R n,m = k[x 1, ..., x n , y 1, ..., y m ]/(Q n,m − 1). In this note we will calculate $$\tilde K_0 \left( {R_{n,m} } \right)$$ for every n,m ≥ 0. We will also calculate CH 0(R n,m ) and the Euler class group of R n,m when k = ℝ.

Keywords: K 0(A); Clifford algebra; Euler class group (search for similar items in EconPapers)
Date: 2013
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DOI: 10.1007/s13226-013-0006-y

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