Artin's Conjecture on Zeros of $p$-Adic Forms

Details Artin's Conjecture on Zeros of $p$-Adic Forms Artin's Conjecture on Zeros of $p$-Adic Forms

2010-02-19

arxiv.org/abs/1002.3754v1

Mathematics

Number Theory

Submitted for publication as part of ICM 2010

Scientific paper

This is an exposition of work on Artin's Conjecture on the zeros of $p$-adic
forms. A variety of lines of attack are described, going back to 1945. However
there is particular emphasis on recent developments concerning quartic forms on
the one hand, and systems of quadratic forms on the other.

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