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...
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Format: | Article |
Language: | English |
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European Math Society,
2015-01-23T18:20:33Z.
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Online Access: | Get fulltext |