On the notion of essential dimension for algebraic groups

By Zinovy Reichstein. 2000

134 citations recorded by the source corpus.

Subfields: Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/f032e60a5e244e808390ac28ee1a49e8d6097fa8

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. Alexander S. Merkurjev
2. Giordano Favi
3. Grégory Berhuy
4. Zinovy Reichstein
5. P. Gille
6. V. Chernousov
7. N. Karpenko
8. B. Totaro

In Mathematical Physics

1. Alexander S. Merkurjev
2. Zinovy Reichstein
3. Giordano Favi
4. Grégory Berhuy
5. P. Gille
6. V. Chernousov
7. N. Karpenko
8. Skip Garibaldi

Citations in the corpus

• Essential dimension: a survey (2013, methodology): “Cohomological invariants provide lower bounds for the essential dimension (see [83]).”
• Essential dimension: A functorial point of view (after A. Merkurjev) (2003, background): “Applying the same cohomological-invariant techniques to quadratic forms one can prove the following result which can be found in [14].”
• Resolving G-torsors by abelian base extensions (2004, background): “Note that a rational quotient is, a priori, only defined up to birational isomorphism; however, a regular model for G ∗S V0 can be chosen so that the G-action on G × V0 (by translations on the first factor) descends to a regular G-action on G ∗S V0, making the rational quotient map G × V0 99K G ∗S V”