Etale homotopy and sums-of-squares formulas

• Autores: Daniel Dugger, Danierl C. Isaksen
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 145, Nº 1, 2008, págs. 1-26
• Idioma: inglés
• DOI: 10.1017/s0305004108001205
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• Resumen

  • This paper uses a relative of BP-cohomology to prove a theorem in characteristic p algebra. Specifically, we obtain some new necessary conditions for the existence of sums-of-squares formulas over fields of characteristic p>2. These conditions were previously known in characteristic zero by results of Davis. Our proof uses a generalized étale cohomology theory called étale BP2.