LEADER 02422nmm a2200385 i 4500 001 991002947049707536 006 m o d 007 cr cn ---mpcbr 008 160719s2014 sz o j 000 0 eng d 020 $a9783319048703 024 7 $a10.1007/978-3-319-04870-3$2doi 035 $ab14258535-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 04$a516.35$223 084 $aAMS 14-06 084 $aLC QA3.L28 245 00$aCombinatorial algebraic geometry$h[e-book] :$bLevico Terme, Italy 2013 /$cAldo Conca ... [et al.] ; edited by Sandra Di Rocco, Bernd Sturmfels ; in collaboration with CIRM, Centro internazionale per la ricerca matematica 260 $aCham [Switzerland] :$bSpringer International Publishing,$c2014 440 0$aLecture notes in mathematics,$x1617-9692 ;$v2108 505 0 $aKoszul 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 spaces 520 $aCombinatorics and Algebraic Geometry have enjoyed a fruitful interplay since the nineteenth century. Classical interactions include invariant theory, theta functions, and enumerative geometry. The aim of this volume is to introduce recent developments in combinatorial algebraic geometry and to approach algebraic geometry with a view towards applications, such as tensor calculus and algebraic statistics. A common theme is the study of algebraic varieties endowed with a rich combinatorial structure. Relevant techniques include polyhedral geometry, free resolutions, multilinear algebra, projective duality and compactifications 650 0$aGeometry, algebraic 650 0$aAlgebra 650 0$aCombinatorics 700 1 $aConca, Aldo$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0524889 700 1 $aDi Rocco, Sandra 700 1 $aSturmfels, Bernd 773 0 $aSpringer eBooks 776 08$aPrinted edition:$z9783319048697 856 41$uhttp://link.springer.com/book/10.1007/978-3-319-04870-3$zAn electronic book accessible through the World Wide Web 907 $a.b14258535$b03-03-22$c19-07-16 912 $a991002947049707536 996 $aCombinatorial algebraic geometry$9821250 997 $aUNISALENTO 998 $ale013$b19-07-16$cm$d@ $e-$feng$gsz $h0$i0