On the first Witt index of quadratic forms

By N. Karpenko. 2003

52 citations recorded by the source corpus.

Subfields: Algebra and Number Theory, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/61322fcadd675805b73dcf3250b3ffbbdbd0838d

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Algebra and Number Theory

1. Ahmed Laghribi
2. D. Hoffmann
3. Alexander S. Merkurjev
4. N. Karpenko

In Geometry and Topology

1. N. Karpenko
2. Alexander S. Merkurjev
3. Ahmed Laghribi
4. D. Hoffmann
5. R. Elman
6. B. Totaro
7. A. Vishik

In Mathematical Physics

1. N. Karpenko
2. Alexander S. Merkurjev
3. Ahmed Laghribi
4. D. Hoffmann
5. R. Elman
6. Skip Garibaldi
7. A. Vishik

Citations in the corpus

• Isotropy of quadratic forms over the function field of a quadric in characteristic 2 (2006, background): “Recall that in characteristic different from 2, the result [9, Th. 1] is also a consequence of Rost's degree formula [23], or of the very general results by Karpenko [15] on the first Witt index of quadratic forms and by Karpenko and Merkurjev on the essential dimension of quadrics [16].”
• The Algebraic and Geometric Theory of Quadratic Forms (2008, background): “9 (conjectured by Hoffmann and originally proved in [73]); its main ingredient is given by Proposition 79.”