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Delta-Invariant Theory for Hecke Correspondences

Delta-Invariant Theory for Hecke Correspondences

Paperback

Series: Lecture Notes in Mathematics, Book 2396

AlgebraGeneral MathematicsGeometry

Currently unavailable to order

ISBN10: 3032205700
ISBN13: 9783032205704
Publisher: Springer
Published: Sep 23 2026
Pages: 238
Weight: 0.90
Height: 0.58 Width: 6.20 Depth: 9.22
Language: English
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.

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