On the Chow groups of quadratic Grassmannians

By A. Vishik. Documenta Mathematica, 2005

68 citations recorded by the source corpus.

In this text we get a description of the Chow-ring (mod- ulo 2) of the Grassmanian of the middle-dimensional planes on arbi- trary projective quadric. This is only a first step in the computation of the, so-called, generic discrete invariant of quadrics. This generic invariant contains the "splitting pattern" and "motivic decomposi- tion type" invariants as specializations. Our computation gives an important invariant J(Q) of the quadric Q. We formulate a conjecture describing the canonical dimension of Q in terms of J(Q).

Subfields: Discrete Mathematics and Combinatorics, Geometry and Topology, Mathematical Physics

View Paper: https://www.semanticscholar.org/paper/3cd563ae6b756e830271b6087a0c9f4221c5522e

How researchers see this paper

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

In Discrete Mathematics and Combinatorics

1. Alexander S. Merkurjev
2. N. Karpenko
3. R. Elman
4. B. Totaro

In Geometry and Topology

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

In Mathematical Physics

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

Citations in the corpus

• The Algebraic and Geometric Theory of Quadratic Forms (2008, methodology): “We give a proof different from the one in [139].”
• Essential dimension: a survey (2013, unknown): “1] and [100]).”