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Moduli of Weighted Hyperplane Arrangements

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Moduli of Weighted Hyperplane Arrangements/ by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari.
作者:	Alexeev, Valery.
其他作者:	Bini, Gilberto.
面頁冊數:	VII, 104 p. 50 illus., 16 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Algebraic geometry. -
電子資源:	https://doi.org/10.1007/978-3-0348-0915-3
ISBN:	9783034809153

Moduli of Weighted Hyperplane Arrangements
Alexeev, Valery.

Moduli of Weighted Hyperplane Arrangements[electronic resource] /by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari. - 1st ed. 2015. - VII, 104 p. 50 illus., 16 illus. in color.online resource. - Advanced Courses in Mathematics - CRM Barcelona,2297-0304. - Advanced Courses in Mathematics - CRM Barcelona,.

Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography.

This book focuses on a large class of geometric objects in moduli theory and provides explicit computations to investigate their families. Concrete examples are developed that take advantage of the intricate interplay between Algebraic Geometry and Combinatorics. Compactifications of moduli spaces play a crucial role in Number Theory, String Theory, and Quantum Field Theory – to mention just a few. In particular, the notion of compactification of moduli spaces has been crucial for solving various open problems and long-standing conjectures. Further, the book reports on compactification techniques for moduli spaces in a large class where computations are possible, namely that of weighted stable hyperplane arrangements.

ISBN: 9783034809153

Standard No.: 10.1007/978-3-0348-0915-3doiSubjects--Topical Terms:

1255324
Algebraic geometry.

LC Class. No.: QA564-609

Dewey Class. No.: 516.35

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