TL;DR
This paper investigates the isotropy of multiples of Pfister forms, providing improved bounds on their Witt indices, and explores properties of generic Pfister multiples to distinguish preserved properties.
Contribution
It introduces an improved lower bound on the first Witt indices of multiples of Pfister forms and analyzes generic Pfister multiples to identify preserved properties.
Findings
Improved lower bounds on Witt indices for multiples of Pfister forms
Characterization of properties preserved under Pfister products
Distinguishing features of generic Pfister multiples
Abstract
The isotropy of multiples of Pfister forms is studied. In particular, an improved lower bound on the values of their first Witt indices is obtained. A number of corollaries of this result are outlined. An investigation of generic Pfister multiples is also undertaken. These results are applied to distinguish between properties preserved by Pfister products.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Mathematics and Applications