Projective bundle formula for Chow groups

For a rank-

e + 1

E \to X

and

p : P (E) \to X

, powers of

ζ = c_{1} (O (1))

give isomorphisms

⨁_{i = 0}^{e} A_{k - e + i} (X) \sim A_{k} (P (E)) .

Table of contents
- Homotopy invariance of Chow groups Projective bundle formula for Chow groups

Homotopy invariance of Chow groups

For a rank-

r

E \to X

, flat pullback is an isomorphism

A_{k} (X) ≅ A_{k + r} (E)

.

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Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 162 / 2 / i / Solution

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