Titlebook: Hyperplane Arrangements; An Introduction Alexandru Dimca Textbook 2017 Springer International Publishing AG 2017 hyperplane arrangements.Mi

叙述

0172-5939 ons and takes the reader right up to open questions.ContainsThis textbook provides an accessible introduction to the rich and beautiful area of hyperplane arrangement theory, where discrete mathematics, in the form of combinatorics and arithmetic, meets continuous mathematics, in the form of the top

Instrumental

Textbook 2017form of combinatorics and arithmetic, meets continuous mathematics, in the form of the topology and Hodge theory of complex algebraic varieties..The topics discussed in this book range from elementary combinatorics and discrete geometry to more advanced material on mixed Hodge structures, logarithmi

现实

Invitation to the Trip, the Sylvester–Gallai property for real line arrangements, both the classical projective version and a new affine version. The proof of both results is inspired by Hirzebruch’s approach. The main topic of this book, the study of the monodromy of the Milnor fiber of a hyperplane arrangement, is also introduced in a very simple setting.

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凶残

Logarithmic Connections and Mixed Hodge Structures,ext we discuss the polynomial count property of algebraic varieties . defined over the rationals .. This property always holds when ., while in the case when . is the Milnor fiber . of such an arrangement, this property is related to the triviality of the monodromy action on .. A discussion of Hodge–Deligne polynomials completes this chapter.

exclamation

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