LEADER 03785nam a2200553 i 4500 001 991003634529707536 006 m o d 007 cr nn||||mamaa 008 190402s2018 sz a ob 000 0 eng d 020 $a331975565X$q(eBook) 020 $a9783319755656$q(eBook) 020 $z3319755641$q(print) 020 $z9783319755649$q(print) 024 7 $a10.1007/978-3-319-75565-6$2doi 035 $ab14363604-39ule_inst 040 $aBibl. Dip.le Aggr. Matematica e Fisica - Sez. Matematica$beng 082 0 $a516.35 084 $aAMS 14-06 084 $aLC QA251.3 245 00$aCommutative algebra and its interactions to algebraic geometry$h[e-book] :$bVIASM 2013-2014 /$cNguyen Tu Cuong, Le Tuan Hoa, Ngo Viet Trung, editors 264 1$aCham, Switzerland :$bSpringer,$c[2018] 300 $a1 online resource (ix, 256 pages) :$billustrations 336 $atext$btxt$2rdacontent 337 $acomputer$bc$2rdamedia 338 $aonline resource$bcr$2rdacarrier 347 $atext file$bPDF$2rda 490 1 $aLecture notes in mathematics,$x0075-8434 ;$v2210 504 $aIncludes bibliographical references 505 0 $aNotes on Weyl algebra and D-modules / Markus Brodmann. Inverse systems of local rings / Juan Elias. Lectures on the representation type of a projective variety / Rosa M. Miró-Roig. Simplicial toric varieties which are set-theoretic complete intersections / Marcel Morales 520 $a"This book presents four lectures on recent research in commutative algebra and its applications to algebraic geometry. Aimed at researchers and graduate students with an advanced background in algebra, these lectures were given during the Commutative Algebra program held at the Vietnam Institute of Advanced Study in Mathematics in the winter semester 2013 -2014. The first lecture is on Weyl algebras (certain rings of differential operators) and their D-modules, relating non-commutative and commutative algebra to algebraic geometry and analysis in a very appealing way. The second lecture concerns local systems, their homological origin, and applications to the classification of Artinian Gorenstein rings and the computation of their invariants. The third lecture is on the representation type of projective varieties and the classification of arithmetically Cohen-Macaulay bundles and Ulrich bundles. Related topics such as moduli spaces of sheaves, liaison theory, minimal resolutions, and Hilbert schemes of points are also covered. The last lecture addresses a classical problem: how many equations are needed to define an algebraic variety set-theoretically? It systematically covers (and improves) recent results for the case of toric varieties"--Print version, page 4 of cover 650 0$aAssociative rings 650 0$aCommutative algebra 650 0$aCommutative rings 650 0$aDifferential equations, Partial 650 0$aGeometry, Algebraic 700 1 $aBrodmann, Markus P. 700 1 $aCuong, Nguyen Tu$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0785934 700 1 $aElias, Juan 700 1 $aHoa, Le Tuan$eauthor$4http://id.loc.gov/vocabulary/relators/aut$0785935 700 1 $aMiró-Roig, Rosa M. 700 1 $aMorales Ibarra, Marcel 700 1 $aTrung, Ngo Viet 776 08$iPrint version:$tCommutative algebra and its interactions to algebraic geometry.$dCham, Switzerland : Springer, [2018]$z9783319755649 856 40$zAn electronic book accessile through the World Wide Web$uhttp://link.springer.com/10.1007/978-3-319-75565-6 907 $a.b14363604$b03-03-22$c02-04-19 912 $a991003634529707536 996 $aCommutative algebra and its interactions to algebraic geometry$91749870 997 $aUNISALENTO 998 $ale013$b02-04-19$cm$d@ $e-$feng$gsz $h0$i0