Delta-invariant theory for Hecke correspondences / Alexandru Buium, Adrian Vasiu.

Format:

Book

Author/Creator:

Buium, Alexandru, 1955- author.

Vasiu, Adrian, 1969- author.

Series:

Lecture notes in mathematics (Springer-Verlag) ; 1617-9692 2396.

Lecture notes in mathematics, 1617-9692 ; volume 2396

Language:

English

Subjects (All):

Geometry, Algebraic.

Hecke algebras.

Physical Description:

1 online resource : illustrations.

Place of Publication:

Cham, Switzerland: Springer, [2026]

Summary:

This book provides an introduction to the new field of Î-́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.

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.

Contents:

Main concepts and results

Proofs of the main results

Background and required results in GIT.

Notes:

Includes bibliographical references and index.

Online resource; title from PDF title page (Springer Nature Link, viewed September 28, 2026).

ISBN:

9783032205711

3032205719

OCLC:

1618859128

Access Restriction:

Restricted for use by site license