The Algebraic and Geometric Theory of Quadratic Forms

By R. Elman, N. Karpenko, Alexander S. Merkurjev. 2008

613 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/0ef81dc9c352e8eefd783b28754c3398982e56ea

How researchers see this paper

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

In Geometry and Topology

1. N. Karpenko
2. Alexander S. Merkurjev
3. B. Totaro
4. A. Vishik

In Mathematical Physics

1. N. Karpenko
2. Alexander S. Merkurjev
3. Skip Garibaldi
4. A. Vishik

In Theoretical Computer Science

1. N. Karpenko
2. Alexander S. Merkurjev

Citations in the corpus

• Upper motives of algebraic groups and incompressibility of Severi–Brauer varieties (2009, background): “An important (at least by the amount of available applications, see, e.g., [14], [10], or [5]) example of an incompressible variety is as follows.”
• Introduction to quadratic forms (2016, background): “If α lies in NE×, then B is isomorphic to M2(F ).”
• Essential dimension: a survey (2013, background): “The case of i = 1 was known before by [45] (the proof is essentially contained in [101]; the characteristic 2 case has been treated later on in [23]).”
• On standard norm varieties (2012, methodology): “The category of rational correspondences 21 Appendix RM. Chow groups of Rost motives 24 RM-I.”