Sato-Tate Groups of Abelian Threefolds (Memoirs of the American Mathematical Society)

Fite, Francesc/ Kedlaya, Kiran S./ Sutherland, Andrew V.

American Mathematical Society（2025/08発売）

• 製本 Paperback:紙装版/ペーパーバック版／ページ数 104 p.
• 言語 ENG
• 商品コード 9781470475802

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.

Contents

1. Introduction
2. Conventions
3. Background on Sato-Tate groups
4. The classification upper bound, part 1
5. The classification upper bound, part 2: The case $G^0 = \mathrm {U}(1)_3$
6. Statistics on Sato-Tate distributions
7. Methods for explicit realizations of abelian threefolds
8. The lower bound via explicit realizations
9. Tables