LEADER 04954nam 22007215 450 001 996418254803316 005 20200901223721.0 010 $a3-030-52111-7 024 7 $a10.1007/978-3-030-52111-0 035 $a(CKB)4100000011413815 035 $a(DE-He213)978-3-030-52111-0 035 $a(MiAaPQ)EBC6331591 035 $a(PPN)250221837 035 $a(EXLCZ)994100000011413815 100 $a20200901d2020 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aCombinatorial Structures in Algebra and Geometry$b[electronic resource] $eNSA 26, Constan?a, Romania, August 26?September 1, 2018 /$fedited by Dumitru I. Stamate, Tomasz Szemberg 205 $a1st ed. 2020. 210 1$aCham :$cSpringer International Publishing :$cImprint: Springer,$d2020. 215 $a1 online resource (VIII, 182 p. 40 illus., 6 illus. in color.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v331 311 $a3-030-52110-9 327 $aNearly normally torsionfree ideals (Andrei-Ciobanu) -- Gröbner-nice pairs of ideals (Stamate) -- Veneroni maps (Tutaj-Gasi´nska et al.) -- On the symbolic powers of binomial edge ideals (Herzog et al.) -- Multigraded Betti numbers of some path ideals (Erey) -- Depth of an initial ideal (Tsuchiya et al.) -- Asymptotic behavior of symmetric ideals: A brief survey (Römer et al.) -- On piecewise-linear homeomorphisms between distributive and anti-blocking polyhedra (Sanyal et al.) -- The Bass-Quillen Conjecture and Swan?s question (Popescu) -- Licci level Stanley-Reisner ideals with height three and with type two (Yoshida et al.) -- Homological and combinatorial properties of powers of cover ideals of graphs (Fakhari) -- Fermat-type arrangements (Szpond). 330 $aThis proceedings volume presents selected, peer-reviewed contributions from the 26th National School on Algebra, which was held in Constan?a, Romania, on August 26-September 1, 2018. The works cover three fields of mathematics: algebra, geometry and discrete mathematics, discussing the latest developments in the theory of monomial ideals, algebras of graphs and local positivity of line bundles. Whereas interactions between algebra and geometry go back at least to Hilbert, the ties to combinatorics are much more recent and are subject of immense interest at the forefront of contemporary mathematics research. Transplanting methods between different branches of mathematics has proved very fruitful in the past ? for example, the application of fixed point theorems in topology to solving nonlinear differential equations in analysis. Similarly, combinatorial structures, e.g., Newton-Okounkov bodies, have led to significant advances in our understanding of the asymptotic properties of line bundles in geometry and multiplier ideals in algebra. This book is intended for advanced graduate students, young scientists and established researchers with an interest in the overlaps between different fields of mathematics. A volume for the 24th edition of this conference was previously published with Springer under the title "Multigraded Algebra and Applications" (ISBN 978-3-319-90493-1). . 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1009 ;$v331 606 $aCommutative algebra 606 $aCommutative rings 606 $aAlgebraic geometry 606 $aCombinatorics 606 $aGraph theory 606 $aAlgebra 606 $aField theory (Physics) 606 $aCommutative Rings and Algebras$3https://scigraph.springernature.com/ontologies/product-market-codes/M11043 606 $aAlgebraic Geometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M11019 606 $aCombinatorics$3https://scigraph.springernature.com/ontologies/product-market-codes/M29010 606 $aGraph Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M29020 606 $aField Theory and Polynomials$3https://scigraph.springernature.com/ontologies/product-market-codes/M11051 615 0$aCommutative algebra. 615 0$aCommutative rings. 615 0$aAlgebraic geometry. 615 0$aCombinatorics. 615 0$aGraph theory. 615 0$aAlgebra. 615 0$aField theory (Physics). 615 14$aCommutative Rings and Algebras. 615 24$aAlgebraic Geometry. 615 24$aCombinatorics. 615 24$aGraph Theory. 615 24$aField Theory and Polynomials. 676 $a511.6 702 $aStamate$b Dumitru I$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSzemberg$b Tomasz$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a996418254803316 996 $aCombinatorial Structures in Algebra and Geometry$91995431 997 $aUNISA