Journal of the Ramanujan Mathematical Society

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A Degree Map On Unimodular Rows


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1 Mathematisches Institut der Universitat M¨unchen, Theresienstr. 39, 80333 Munchen, Germany
     

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Let k be a field and let (𝔸n−0) be the punctured affine space. We associate to any morphism g : (𝔸n −0)→ (𝔸n −0) an element in the Witt group W(k) that we call the degree of g.We then use this degree map to give a negative answer to a question of M. V. Nori about unimodular rows.
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  • A Degree Map On Unimodular Rows

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Authors

J. Fasel
Mathematisches Institut der Universitat M¨unchen, Theresienstr. 39, 80333 Munchen, Germany

Abstract


Let k be a field and let (𝔸n−0) be the punctured affine space. We associate to any morphism g : (𝔸n −0)→ (𝔸n −0) an element in the Witt group W(k) that we call the degree of g.We then use this degree map to give a negative answer to a question of M. V. Nori about unimodular rows.