Extending Self-Maps to Projective Space over Finite Fields
Using the closed point sieve, we extend to finite fields the following theorem proved by A. Bhatnagar and L. Szpiro over infinite fields: if X is a closed subscheme of P[superscript n] over a field, and φ: X → X satisfies φ∗O[subscript X](1) [~ over _] O[subscript X](d) for some d ≥ 2, then there ex...
Main Author: | Poonen, Bjorn |
---|---|
Other Authors: | Massachusetts Institute of Technology. Department of Mathematics |
Format: | Article |
Language: | en_US |
Published: |
European Math Society
2015
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Online Access: | http://hdl.handle.net/1721.1/93177 https://orcid.org/0000-0002-8593-2792 |
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