LEADER 02992nam 2200577 450 001 9910806184903321 005 20180731044627.0 010 $a1-4704-0091-X 035 $a(CKB)3360000000464698 035 $a(EBL)3113973 035 $a(SSID)ssj0000888775 035 $a(PQKBManifestationID)11456883 035 $a(PQKBTitleCode)TC0000888775 035 $a(PQKBWorkID)10875117 035 $a(PQKB)11166387 035 $a(MiAaPQ)EBC3113973 035 $a(RPAM)2998192 035 $a(PPN)195413970 035 $a(EXLCZ)993360000000464698 100 $a20140905h19941994 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAssociated graded algebra of a Gorenstein Artin algebra /$fAnthony A. Iarrobino 210 1$aProvidence, Rhode Island, United States :$cAmerican Mathematical Society,$d1994. 210 4$dİ1994 215 $a1 online resource (128 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 107, Number 514 300 $a"January 1994, Volume 107, Number 514 (third of 4 numbers)"--Cover. 311 $a0-8218-2576-3 320 $aIncludes bibliographical references and index. 327 $a""4. COMPONENTS OF THE HILBERT SCHEME STRATA 4""""4A. Hilbert functions of m[sup(u) and 0 :m[sup(v)] and semicontinuity""; ""4B. Components of Gor[sub(T)]R when T = (1,3,3,2,1,1)""; ""4B.i. The variety Gor[sub(T)]R""; ""4B.ii. Fibration Gor[sub(T)]R to G[sub(T)]: Parametrization as fibred varieties""; ""4C. Finding Q(a) from a generator of the dual module""; ""5. WHAT DECOMPOSITIONS D AND SUBQUOTIENTS Q(a) CAN OCCUR?""; ""5A. Hilbert function of a graded Gorenstein Artin algebra""; ""5B. Numerical conditions on the decomposition D"" 327 $a""5C. Gorenstein Artin algebras with given decomposition D""""5D. Applications""; ""5E. Problems""; ""5F. Appendix: Hilbert function decompositions for lengths n a??? 21 when e a??? 3, and for n a??? 16""; ""5F.i. Hilbert functions of unique decomposition""; ""5F.ii. Hilbert functions having several decompositions""; ""5F.iii. Discussion""; ""6. RELATIVELY COMPRESSED ARTIN ALGEBRAS""; ""BIBLIOGRAPHY""; ""LIST OF THEOREMS, DEFINITIONS, AND EXAMPLES""; ""INDEX""; ""A""; ""B""; ""C""; ""D""; ""E""; ""F""; ""G""; ""H""; ""I""; ""L""; ""M""; ""N""; ""P""; ""R""; ""S""; ""T""; ""U""; ""V"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 107, Number 514. 606 $aArtin algebras 606 $aGorenstein rings 606 $aCharacteristic functions 615 0$aArtin algebras. 615 0$aGorenstein rings. 615 0$aCharacteristic functions. 676 $a512 700 $aIarrobino$b Anthony A$g(Anthony Ayers),$f1943-$01685841 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910806184903321 996 $aAssociated graded algebra of a Gorenstein Artin algebra$94058281 997 $aUNINA