Abstract.
Using the triangulated Witt theory of Balmer we give a new proof of Arasons theorem: \(W({\mathbb P}^n_k)=W(k)\). By the way we prove also that the Witt group of skew-symmetric forms on the projective space is zero.
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Received November 3, 1999; in final form February 8, 2000 / Published online March 12, 2001
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Gille, S. A note on the Witt group of ${\mathbb P}^n$. Math Z 237, 601–619 (2001). https://doi.org/10.1007/PL00004883
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DOI: https://doi.org/10.1007/PL00004883