000 02118nam 2200361| 4500
001 85033
005 20231221170038.0
010 _a978-3-319-56221-6
_dcompra
090 _a85033
100 _a20190128d2017 k||y0pory50 ba
101 0 _aeng
102 _aUS
200 1 _aHyperplane arrangements
_ean introduction
_bDocumento electrónico
_fAlexandru Dimca
210 _aCham
_cSpringer
_d2017
215 _aXII, 200 p.
_cil.
225 2 _aUniversitext
300 _aColocação: Online
303 _aThis 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 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, logarithmic connections and Milnor fibrations. The author covers a lot of ground in a relatively short amount of space, with a focus on defining concepts carefully and giving proofs of theorems in detail where needed. Including a number of surprising results and tantalizing open problems, this timely book also serves to acquaint the reader with the rapidly expanding literature on the subject. Hyperplane Arrangements will be particularly useful to graduate students and researchers who are interested in algebraic geometry or algebraic topology. The book contains numerous exercises at the end of each chapter, making it suitable for courses as well as self-study.
410 1 _x0172-5939
606 _aGeometria algébrica
606 _aAlgoritmos
606 _aÁlgebra comutativa
606 _aAnéis comutativos
606 _aFunções de variáveis ​​complexas
606 _aGeometria projetiva
680 _aQA564
700 _aDimca
_bAlexandru
801 0 _gRPC
_aPT
856 _uhttps://doi.org/10.1007/978-3-319-56221-6
942 _2lcc
_cF
_n0