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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριος συγγραφέας: Alexeev, Valery (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Bini, Gilberto (Επιμελητής έκδοσης), Lahoz, Martí (Επιμελητής έκδοσης), Macrí, Emanuele (Επιμελητής έκδοσης), Stellari, Paolo (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2015.
Σειρά:Advanced Courses in Mathematics - CRM Barcelona,
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02784nam a22005175i 4500
001 978-3-0348-0915-3
003 DE-He213
005 20151204152715.0
007 cr nn 008mamaa
008 150518s2015 sz | s |||| 0|eng d
020 |a 9783034809153  |9 978-3-0348-0915-3 
024 7 |a 10.1007/978-3-0348-0915-3  |2 doi 
040 |d GrThAP 
050 4 |a QA564-609 
072 7 |a PBMW  |2 bicssc 
072 7 |a MAT012010  |2 bisacsh 
082 0 4 |a 516.35  |2 23 
100 1 |a Alexeev, Valery.  |e author. 
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. 
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. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Advanced Courses in Mathematics - CRM Barcelona,  |x 2297-0304 
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 Mathematics. 
650 0 |a Algebraic geometry. 
650 0 |a Convex geometry. 
650 0 |a Discrete geometry. 
650 1 4 |a Mathematics. 
650 2 4 |a Algebraic Geometry. 
650 2 4 |a Convex and Discrete Geometry. 
700 1 |a Bini, Gilberto.  |e editor. 
700 1 |a Lahoz, Martí.  |e editor. 
700 1 |a Macrí, Emanuele.  |e editor. 
700 1 |a Stellari, Paolo.  |e editor. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783034809146 
830 0 |a Advanced Courses in Mathematics - CRM Barcelona,  |x 2297-0304 
856 4 0 |u http://dx.doi.org/10.1007/978-3-0348-0915-3  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)