LEADER 03809nam 22006615 450 001 9910299965503321 005 20251230065949.0 010 $a1-4939-0626-7 024 7 $a10.1007/978-1-4939-0626-0 035 $a(CKB)3710000000114164 035 $a(EBL)1730900 035 $a(OCoLC)884646033 035 $a(SSID)ssj0001241533 035 $a(PQKBManifestationID)11775435 035 $a(PQKBTitleCode)TC0001241533 035 $a(PQKBWorkID)11231125 035 $a(PQKB)11599283 035 $a(MiAaPQ)EBC1730900 035 $a(DE-He213)978-1-4939-0626-0 035 $a(PPN)178781665 035 $a(EXLCZ)993710000000114164 100 $a20140516d2014 u| 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aConnections Between Algebra, Combinatorics, and Geometry /$fedited by Susan M. Cooper, Sean Sather-Wagstaff 205 $a1st ed. 2014. 210 1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2014. 215 $a1 online resource (328 p.) 225 1 $aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v76 300 $aDescription based upon print version of record. 311 08$a1-4939-0625-9 320 $aIncludes bibliographical references at the end of each chapters. 327 $aPreface -- Differential Graded Commutative Algebra -- Secant Varieties -- Fat Points and Symbolic Powers -- An Introduction to Stanley-Reisner Rings -- Combinatorial Resolutions -- Geometric Properties of the Tor Algebra Structure for Trivariate Monomial Ideals -- Interactions Between Linear Algebra and Algebraic Geometry -- Fat Points -- Primary Decomposition of Certain Permanental Ideals. 330 $aCommutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra, Combinatorics, and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2?3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University, February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection. . 410 0$aSpringer Proceedings in Mathematics & Statistics,$x2194-1017 ;$v76 606 $aCommutative algebra 606 $aCommutative rings 606 $aAlgebraic geometry 606 $aCommutative Rings and Algebras 606 $aAlgebraic Geometry 615 0$aCommutative algebra. 615 0$aCommutative rings. 615 0$aAlgebraic geometry. 615 14$aCommutative Rings and Algebras. 615 24$aAlgebraic Geometry. 676 $a512.24 702 $aCooper$b Susan M.$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSather-Wagstaff$b Sean$4edt$4http://id.loc.gov/vocabulary/relators/edt 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910299965503321 996 $aConnections between algebra, combinatorics, and geometry$91410687 997 $aUNINA