Reduction theory of binary forms
Abstract
In these lectures we give an introduction to the reduction theory of binary forms starting with quadratic forms with real coefficients, Hermitian forms, and then define the Julia quadratic for any degree $n$ binary form. A survey of a reduction algorithm over $\mathbb Z$ is described based on recent work of Cremona and Stoll.
- Publication:
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arXiv e-prints
- Pub Date:
- February 2015
- DOI:
- 10.48550/arXiv.1502.06289
- arXiv:
- arXiv:1502.06289
- Bibcode:
- 2015arXiv150206289B
- Keywords:
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- Mathematics - Number Theory