The p-adic Simpson Correspondence and Hodge-Tate Local Systems (Paperback)

Idioma: inglés

Editorial: Springer International Publishing AG, Cham, 2024

3031559134 / 9783031559136

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Paperback. This book delves into the p-adic Simpson correspondence, its construction, and development. Offering fresh and innovative perspectives on this important topic in algebraic geometry, the text serves a dual purpose: it describes an important tool in p-adic Hodge theory, which has recently attracted significant interest, and also provides a comprehensive resource for researchers. Unique among the books in the existing literature in this field, it combines theoretical advances, novel constructions, and connections to Hodge-Tate local systems.This exposition builds upon the foundation laid by Faltings, the collaborative efforts of the two authors with T. Tsuji, and contributions from other researchers. Faltings initiated in 2005 a p-adic analogue of the (complex) Simpson correspondence, whose construction has been taken up in several different ways. Following the approach they initiated with T. Tsuji, the authors develop new features of the p-adic Simpson correspondence, inspired by their construction of the relative Hodge-Tate spectral sequence. First, they address the connection to Hodge-Tate local systems. Then they establish the functoriality of the p-adic Simpson correspondence by proper direct image. Along the way, they expand the scope of their original construction. The book targets a specialist audience interested in the intricate world of p-adic Hodge theory and its applications, algebraic geometry and related areas. Graduate students can use it as a reference or for in-depth study. Mathematicians exploring connections between complex and p-adic geometry will also find it valuable. This book delves into the p-adic Simpson correspondence, its construction, and development. Tsuji, the authors develop new features of the p-adic Simpson correspondence, inspired by their construction of the relative Hodge-Tate spectral sequence. Shipping may be from multiple locations in the US or from the UK, depending on stock availability.…

N° de ref. del artículo 9783031559136

Título
The p-adic Simpson Correspondence and Hodge-Tate Local Systems (Paperback)
Autor
Ahmed Abbes
Editorial
Springer International Publishing AG, Cham
Año de publicación
2024
Estado
new
Encuadernación
Paperback
Idioma
inglés
ISBN 10
3031559134
ISBN 13
9783031559136

Grand Eagle Retail

Bensenville, IL, Estados Unidos de America

Vendedor de 5 estrellas

Vendedor de IberLibro desde 12 de octubre de 2005

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