Reflection Theorems of Ohno-Nakagawa Type for Quartic Rings and Pairs of $n$-Ary Quadratic Forms (Memoirs of the American Mathematical Society)

O'Dorney, Evan M.

American Mathematical Society（2025/08発売）

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製本 Paperback:紙装版/ペーパーバック版／ページ数 198 p.
言語 ENG
商品コード 9781470473587

Full Description

The Memoirs of the AMS is devoted to the publication of new research in all areas of pure and applied mathematics. The Memoirs is designed particularly to publish long papers of groups of cognate papers in book form, and is under the supervision of the Editorial Committee of the AMS journal Transactions of the American Mathematical Society. All papers are peer-reviewed.

Chapters
1. Introduction
2. Global-to-local reduction
3. Tame quartic rings with not totally split resolvent, by multijection
4. $2 \times n \times n$ boxes
5. Introduction to counting quartic rings
6. The conic over $ \mathcal {O}_K $
7. Boxgroups
8. Ring volumes for $\xi '_1$
9. Ring volumes for $\xi '_2$
10. Further remarks on the code
A. Examples of zone totals