Reflection Theorems of Ohno-Nakagawa Type for Quartic Rings and Pairs of $n$-Ary Quadratic Forms

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Evan M. O'Dorney

Reflection Theorems of Ohno-Nakagawa Type for Quartic Rings and Pairs of $n$-Ary Quadratic Forms

Evan M. O'Dorney

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English

American Mathematical Society
31 August 2025

Algebra; Algebraic geometry

Series: Memoirs of the American Mathematical Society

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.

By: Evan M. O'Dorney
Imprint: American Mathematical Society
Country of Publication: United States [Currently unable to ship to USA: see Shipping Info]
ISBN: 9781470473587
ISBN 10: 1470473585
Series: Memoirs of the American Mathematical Society
Pages: 198
Publication Date: 31 August 2025
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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

Evan M. O'Dorney, Carnegie Mellon University, Pittsburgh, Pennsylvania.