Extending self-maps to projective space over finite fields
Bjorn Poonen
Department of Mathematics Massachusetts Institute of Technology Cambridge, MA 02139-4307 USA
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Abstract
Using the closed point sieve, we extend to finite fields the following theorem proved by A. Bhatnagar and L. Szpiro over infinite fields: if is a closed subscheme of over a field, and satisfies for some , then there exists such that extends to a morphism .
Cite this article
Bjorn Poonen, Extending self-maps to projective space over finite fields. Doc. Math. 18 (2013), pp. 1039–1044
DOI 10.4171/DM/420