Delta-Invariant Theory for Hecke Correspondences
Series: Lecture Notes in Mathematics;
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Product details:
- Publisher Springer Nature Switzerland
- Date of Publication 14 July 2026
- ISBN 9783032205704
- Binding Paperback
- No. of pages238 pages
- Size 235x155 mm
- Language English
- Illustrations XX, 238 p. 2 illus. 700
Categories
Long description:
"
This book provides an introduction to the new field of δ-geometry and its applications to the construction of certain quotient spaces that cannot be approached within usual algebraic geometry, specifically quotients of Siegel moduli spaces by the action of Hecke correspondences. δ-geometry is a geometry obtained from usual algebraic geometry by ‘adjoining’ a Fermat quotient operator; the latter morally plays the role of an ‘arithmetic differentiation’ with respect to a prime integer. The book assumes some basic knowledge of the algebraic geometry of schemes, including abelian schemes, but it is otherwise self-contained.
Its intended audience includes mathematics graduate students and researchers interested in algebraic geometry and number theory.
" MoreTable of Contents:
Chapter 1. Introduction.- Chapter 2. Main concepts and results.- Chapter 3. Proofs of the main results.- Chapter 4. Background and required results in GIT.
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