02422nmm a2200385 i 4500991002947049707536m o d cr cn ---mpcbr160719s2014 sz o j 000 0 eng d978331904870310.1007/978-3-319-04870-3doib14258535-39ule_instBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematicaeng516.3523AMS 14-06LC QA3.L28Combinatorial algebraic geometry[e-book] :Levico Terme, Italy 2013 /Aldo Conca ... [et al.] ; edited by Sandra Di Rocco, Bernd Sturmfels ; in collaboration with CIRM, Centro internazionale per la ricerca matematicaCham [Switzerland] :Springer International Publishing,2014Lecture notes in mathematics,1617-9692 ;2108Koszul algebras, Koszul homology and syzygies ; Infinite-dimensional systems of polynomial equations with symmetry ; Maximum Likelihood Geometry ; Linear Toric fibrations and Cayley polytopes ; Toroidal compactifications and tropicalizations of moduli spacesCombinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions, and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactificationsGeometry, algebraicAlgebraCombinatoricsConca, Aldoauthorhttp://id.loc.gov/vocabulary/relators/aut524889Di Rocco, SandraSturmfels, BerndSpringer eBooksPrinted edition:9783319048697http://link.springer.com/book/10.1007/978-3-319-04870-3An electronic book accessible through the World Wide Web.b1425853503-03-2219-07-16991002947049707536Combinatorial algebraic geometry821250UNISALENTOle01319-07-16m@ -engsz 00