Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics) - Info and Reading Options
By Ke-Zheng Li and Frans Oort
"Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics)" was published by Springer in March 5, 1998, it has 116 pages and the language of the book is English.
“Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics)” Metadata:
- Title: ➤ Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics)
- Authors: Ke-Zheng LiFrans Oort
- Language: English
- Number of Pages: 116
- Publisher: Springer
- Publish Date: March 5, 1998
“Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics)” Subjects and Themes:
- Subjects: ➤ Moduli theory - Abelian varieties - Classification theory - Algebraic varieties - Abelian groups - Singularities (mathematics) - Mathematics - Geometry, algebraic
Edition Specifications:
- Format: Paperback
- Weight: 5.6 ounces
- Dimensions: 9 x 6 x 0.5 inches
Edition Identifiers:
- The Open Library ID: OL9062456M - OL19888988W
- Online Computer Library Center (OCLC) ID: 38043011
- Library of Congress Control Number (LCCN): 97048780
- ISBN-13: 9783540639237
- ISBN-10: 3540639233
- All ISBNs: 3540639233 - 9783540639237
AI-generated Review of “Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics)”:
"Moduli of Supersingular Abelian Varieties (Lecture Notes in Mathematics)" Description:
The Open Library:
Abelian varieties can be classified via their moduli. In positive characteristic the structure of the p-torsion-structure is an additional, useful tool. For that structure supersingular abelian varieties can be considered the most special ones. They provide a starting point for the fine description of various structures. For low dimensions the moduli of supersingular abelian varieties is by now well understood. In this book we provide a description of the supersingular locus in all dimensions, in particular we compute the dimension of it: it turns out to be equal to Äg.g/4Ü, and we express the number of components as a class number, thus completing a long historical line where special cases were studied and general results were conjectured (Deuring, Hasse, Igusa, Oda-Oort, Katsura-Oort).
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