03578nam 22007095 450 991029976130332120200703133316.03-0348-0915-810.1007/978-3-0348-0915-3(CKB)3710000000416771(SSID)ssj0001501607(PQKBManifestationID)11848445(PQKBTitleCode)TC0001501607(PQKBWorkID)11445999(PQKB)10036839(DE-He213)978-3-0348-0915-3(MiAaPQ)EBC6315690(MiAaPQ)EBC5576338(Au-PeEL)EBL5576338(OCoLC)1066186974(PPN)186030045(EXLCZ)99371000000041677120150518d2015 u| 0engurnn|008mamaatxtccrModuli of Weighted Hyperplane Arrangements /by Valery Alexeev ; edited by Gilberto Bini, Martí Lahoz, Emanuele Macrí, Paolo Stellari1st ed. 2015.Basel :Springer Basel :Imprint: Birkhäuser,2015.1 online resource (VII, 104 p. 50 illus., 16 illus. in color.) Advanced Courses in Mathematics - CRM Barcelona,2297-0304Bibliographic Level Mode of Issuance: Monograph3-0348-0914-X Includes bibliographical references.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.Advanced Courses in Mathematics - CRM Barcelona,2297-0304Geometry, AlgebraicConvex geometryDiscrete geometryAlgebraic Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M11019Convex and Discrete Geometryhttps://scigraph.springernature.com/ontologies/product-market-codes/M21014Geometry, Algebraic.Convex geometry.Discrete geometry.Algebraic Geometry.Convex and Discrete Geometry.516.35Alexeev Valeryauthttp://id.loc.gov/vocabulary/relators/aut314088Bini Gilbertoedthttp://id.loc.gov/vocabulary/relators/edtLahoz Martíedthttp://id.loc.gov/vocabulary/relators/edtMacrí Emanueleedthttp://id.loc.gov/vocabulary/relators/edtStellari Paoloedthttp://id.loc.gov/vocabulary/relators/edtMiAaPQMiAaPQMiAaPQBOOK9910299761303321Moduli of weighted hyperplane arrangements1522482UNINA