Moduli of Weighted Hyperplane Arrangements

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 p...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Alexeev, Valery (Autor)
Autor Corporativo: SpringerLink (Online service)
Otros Autores: Bini, Gilberto (Editor ), Lahoz, Martí (Editor ), Macrí, Emanuele (Editor ), Stellari, Paolo (Editor )
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2015.
Edición:1st ed. 2015.
Colección:Advanced Courses in Mathematics - CRM Barcelona,
Temas:
Algebraic geometry.
Convex geometry .
Discrete geometry.
Algebraic Geometry.
Convex and Discrete Geometry.
Acceso en línea:Texto Completo

MARC

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245 1 0 |a Moduli of Weighted Hyperplane Arrangements  |h [electronic resource] /  |c by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari. 
250 |a 1st ed. 2015. 
264 1 |a Basel :  |b Springer Basel :  |b Imprint: Birkhäuser,  |c 2015. 
300 |a VII, 104 p. 50 illus., 16 illus. in color.  |b online resource. 
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490 1 |a Advanced Courses in Mathematics - CRM Barcelona,  |x 2297-0312 
505 0 |a Preface -- Introduction -- Stable pairs and their moduli -- Stable toric varieties -- Matroids -- Matroid polytopes and tilings -- Weighted stable hyperplane arrangements -- Abelian Galois covers -- Bibliography. 
520 |a 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. 
650 0 |a Algebraic geometry. 
650 0 |a Convex geometry . 
650 0 |a Discrete geometry. 
650 1 4 |a Algebraic Geometry. 
650 2 4 |a Convex and Discrete Geometry. 
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700 1 |a Macrí, Emanuele.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
700 1 |a Stellari, Paolo.  |e editor.  |4 edt  |4 http://id.loc.gov/vocabulary/relators/edt 
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776 0 8 |i Printed edition:  |z 9783034809160 
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830 0 |a Advanced Courses in Mathematics - CRM Barcelona,  |x 2297-0312 
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950 |a Mathematics and Statistics (R0) (SpringerNature-43713) 

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