LEADER 00996nam0-22003251i-450- 001 990007247300403321 005 20150508103852.0 035 $a000724730 035 $aFED01000724730 035 $a(Aleph)000724730FED01 035 $a000724730 100 $a20021021d1936----km-y0itay50------ba 101 0 $aita 200 1 $aCommento alle leggi sulle acque e sugli impianti elettrici$eT.U. 11 dicembre 1933 n. 1775 e disposizioni complementari$fGiuseppe Castelli-Avolio. 210 $aNapoli$cJovene$d1936. 215 $aXVI, 902 p.$d24 cm 300 $aDono Navarra. 676 $a342 700 1$aCastelli Avolio,$bGiuseppe$0226565 801 0$aIT$bUNINA$gRICA$2UNIMARC 901 $aBK 912 $a990007247300403321 952 $aDP XXXVIII-38$b02838$fDEC 952 $aPUB-239$b6729 dip.$fDDRC 952 $aVI D 221$b1613$fDDA 959 $aDEC 959 $aDDA 959 $aDDRC 996 $aCommento alle leggi sulle acque e sugli impianti elettrici$9686800 997 $aUNINA LEADER 03712nam 22006855 450 001 9910146313203321 005 20250730104904.0 010 $a3-540-46707-6 024 7 $a10.1007/BFb0093426 035 $a(CKB)1000000000437292 035 $a(SSID)ssj0000325780 035 $a(PQKBManifestationID)12087651 035 $a(PQKBTitleCode)TC0000325780 035 $a(PQKBWorkID)10253689 035 $a(PQKB)10482806 035 $a(DE-He213)978-3-540-46707-6 035 $a(MiAaPQ)EBC5578736 035 $a(Au-PeEL)EBL5578736 035 $a(OCoLC)1066198219 035 $a(MiAaPQ)EBC6866925 035 $a(Au-PeEL)EBL6866925 035 $a(PPN)15517777X 035 $a(EXLCZ)991000000000437292 100 $a20121227d1999 u| 0 101 0 $aeng 135 $aurnn#008mamaa 181 $ctxt 182 $cc 183 $acr 200 10$aPower Sums, Gorenstein Algebras, and Determinantal Loci /$fby Anthony Iarrobino, Vassil Kanev 205 $a1st ed. 1999. 210 1$aBerlin, Heidelberg :$cSpringer Berlin Heidelberg :$cImprint: Springer,$d1999. 215 $a1 online resource (XXXIV, 354 p.) 225 1 $aLecture Notes in Mathematics,$x1617-9692 ;$v1721 300 $aBibliographic Level Mode of Issuance: Monograph 311 08$a3-540-66766-0 327 $aForms and catalecticant matrices -- Sums of powers of linear forms, and gorenstein algebras -- Tangent spaces to catalecticant schemes -- The locus PS(s, j; r) of sums of powers, and determinantal loci of catalecticant matrices -- Forms and zero-dimensional schemes I: Basic results, and the case r=3 -- Forms and zero-dimensional schemes, II: Annihilating schemes and reducible Gor(T) -- Connectedness and components of the determinantal locus ?V s(u, v; r) -- Closures of the variety Gor(T), and the parameter space G(T) of graded algebras -- Questions and problems. 330 $aThis book treats the theory of representations of homogeneous polynomials as sums of powers of linear forms. The first two chapters are introductory, and focus on binary forms and Waring's problem. Then the author's recent work is presented mainly on the representation of forms in three or more variables as sums of powers of relatively few linear forms. The methods used are drawn from seemingly unrelated areas of commutative algebra and algebraic geometry, including the theories of determinantal varieties, of classifying spaces of Gorenstein-Artin algebras, and of Hilbert schemes of zero-dimensional subschemes. Of the many concrete examples given, some are calculated with the aid of the computer algebra program "Macaulay", illustrating the abstract material. The final chapter considers open problems. This book will be of interest to graduate students, beginning researchers, and seasoned specialists. Prerequisite is a basic knowledge of commutative algebra and algebraic geometry. 410 0$aLecture Notes in Mathematics,$x1617-9692 ;$v1721 606 $aGeometry, Algebraic 606 $aAssociative rings 606 $aAssociative algebras 606 $aAlgebraic Geometry 606 $aAssociative Rings and Algebras 615 0$aGeometry, Algebraic. 615 0$aAssociative rings. 615 0$aAssociative algebras. 615 14$aAlgebraic Geometry. 615 24$aAssociative Rings and Algebras. 676 $a516.35 700 $aIarrobino$b Anthony A$g(Anthony Ayers),$f1943-,$01685841 702 $aKanev$b Vassil$f1954- 702 $aKleiman$b Steven L. 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910146313203321 996 $aPower Sums, Gorenstein Algebras, and Determinantal Loci$94412039 997 $aUNINA