Motives of Quadrics with Applications to the Theory of Quadratic Forms

By A. Vishik. 2004

97 citations recorded by the source corpus.

Subfields: Geometry and Topology, Theoretical Computer Science

View Paper: https://www.semanticscholar.org/paper/3550b673788f9d39d1f862031cc1d583bbecb88a

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. R. Elman
4. A. Vishik
5. V. Chernousov
6. B. Totaro

In Theoretical Computer Science

1. N. Karpenko
2. Alexander S. Merkurjev
3. A. Vishik
4. R. Elman
5. V. Chernousov

Citations in the corpus

• Motivic decomposition of projective homogeneous varieties and the Krull-Schmidt theorem (2006, background): “Vishik proved in [13] that the Krull-Schmidt theorem holds for the integral motives of projective quadrics.”
• The Algebraic and Geometric Theory of Quadratic Forms (2008, result): “This was done by Vishik in [133].”
• Algebraic cobordisms of a Pfister quadric (2007, unknown): “Actually, one can notice that we could easily start just from a quadric of height one (the one which is split over its own generic point) and use the results from [22].”
• On the Chow groups of quadratic Grassmannians (2005, background): “Some progress in this direction was achieved by considering the interplay of the splitting pattern invariant with another discrete invariant, called, motivic decomposition type - see [12].”