LEADER 04041nam 22005415 450 001 9910254292003321 005 20200630220304.0 010 $a1-4939-7486-6 024 7 $a10.1007/978-1-4939-7486-3 035 $a(CKB)4340000000223149 035 $a(DE-He213)978-1-4939-7486-3 035 $a(MiAaPQ)EBC5151578 035 $a(PPN)221248617 035 $a(EXLCZ)994340000000223149 100 $a20171119d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCombinatorial Algebraic Geometry $eSelected Papers From the 2016 Apprenticeship Program /$fedited by Gregory G. Smith, Bernd Sturmfels 205 $a1st ed. 2017. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2017. 215 $a1 online resource (VIII, 390 p. 94 illus., 53 illus. in color.) 225 1 $aFields Institute Communications,$x1069-5265 ;$v80 311 $a1-4939-7485-8 320 $aIncludes bibliographical references and index. 327 $aFitness, Apprenticeship, and Polynomials (B. Sturmfels).- From Curves to Tropical Jacobians and Back (B. Bolognese, M. Brandt, L. Chua).- Tritangent Planes to Space Sextics: the Algebraic and Tropical Stories (C. Harris, Y. Len).- Theta Characteristics of Tropical K4-Curves (M. Chan, P.t Jiradilok).- Secants, Bitangents, and Their Congruences (K. Kohn, B. Ivar Utstøl Nødland, P. Tripoli).- Equations of M0,n (L. Monin and J. Rana).- Minkowski Sums and Hadamard Products of Algebraic Varieties (N. Friedenberg, A. Oneto, and R.L. Williams).- paKhovanskii Bases of Cox?Nagata Rings and Tropical Geometry (M.B. Guill´en, D. Corey, M. Donten-Bury, N. Fujita, G. Merz).- Equations and Tropicalization of Enriques Surfaces (B. Bolognese, C. Harris, J. Jelisiejew).- Specht Polytopes and Specht Matroids (J.D. Wiltshire-Gordon, A. Woo, and M. Zajaczkowska) -- The Degree of SO(n,C) (M. Brandt, J. Bruce, T. Brysiewicz, R. Krone, E. Robeva).- Computing Toric Degenerations of Flag Varieties (L. Bossinger, S. Lamboglia, K. Mincheva, and F. Mohammadi).- The Multidegree of the Multi-Image Variety (L. Escobar, A. Knutson).- The Convex Hull of Two Circles in R3 (E.D. Nash, A. Firat Pir, F. Sottile, L. Ying).- The Hilbert Scheme of 11 Points in A3 is Irreducible (T. Douvropoulos, J. Jelisiejew, B. Ivar Utstøl Nødland, Z. Teitler).- Towards a Tropical Hodge Bundle (Bo Lin and Martin Ulirsch).- Cellular Sheaf Cohomology in polymake (L. Kastner, K. Shaw, A.-L. Winz) -- Index. 330 $aThis volume consolidates selected articles from the 2016 Apprenticeship Program at the Fields Institute, part of the larger program on Combinatorial Algebraic Geometry that ran from July through December of 2016. Written primarily by junior mathematicians, the articles cover a range of topics in combinatorial algebraic geometry including curves, surfaces, Grassmannians, convexity, abelian varieties, and moduli spaces. This book bridges the gap between graduate courses and cutting-edge research by connecting historical sources, computation, explicit examples, and new results. 410 0$aFields Institute Communications,$x1069-5265 ;$v80 606 $aGeometry, Algebraic 606 $aCombinatorial analysis 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 615 0$aGeometry, Algebraic. 615 0$aCombinatorial analysis. 615 14$aAlgebraic Geometry. 615 24$aCombinatorics. 676 $a530.1516 702 $aSmith$b Gregory G$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSturmfels$b Bernd$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910254292003321 996 $aCombinatorial algebraic geometry$91388039 997 $aUNINA