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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Detalhes bibliográficos
Autor principal: Poonen, Bjorn
Outros Autores: Massachusetts Institute of Technology. Department of Mathematics
Formato: Artigo
Idioma:en_US
Publicado em: European Math Society 2015
Acesso em linha:http://hdl.handle.net/1721.1/93177
https://orcid.org/0000-0002-8593-2792