From Fourier Analysis and Number Theory to Radon Transforms and Geometry by Hershel M. Farkas Robert C. Gunning Marvin I. Knopp & B. A. Taylor

Author:Hershel M. Farkas, Robert C. Gunning, Marvin I. Knopp & B. A. Taylor
Language: eng
Format: epub
Publisher: Springer New York, New York, NY

We need various ways of modifying descent problems. The following definition is chosen to consist of simple and computable steps yet be broad enough for the proofs to work. (It should become clear that several variants of the definition would also work. We found the present one convenient to use.)

Definition 32 (Scions of Descent Problems)

Let be a descent problem. A scion of is any descent problem that can be obtained by repeated application of the following procedures: (1) For a proper morphism , set

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