02992nam 2200577 450 991078875330332120180731044627.01-4704-0091-X(CKB)3360000000464698(EBL)3113973(SSID)ssj0000888775(PQKBManifestationID)11456883(PQKBTitleCode)TC0000888775(PQKBWorkID)10875117(PQKB)11166387(MiAaPQ)EBC3113973(RPAM)2998192(PPN)195413970(EXLCZ)99336000000046469820140905h19941994 uy 0engur|n|---|||||txtccrAssociated graded algebra of a Gorenstein Artin algebra /Anthony A. IarrobinoProvidence, Rhode Island, United States :American Mathematical Society,1994.©19941 online resource (128 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 107, Number 514"January 1994, Volume 107, Number 514 (third of 4 numbers)"--Cover.0-8218-2576-3 Includes bibliographical references and index.""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""""5C. Gorenstein Artin algebras with given decomposition D""""5D. Applications""; ""5E. Problems""; ""5F. Appendix: Hilbert function decompositions for lengths n â?? 21 when e â?? 3, and for n â?? 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""Memoirs of the American Mathematical Society ;Volume 107, Number 514.Artin algebrasGorenstein ringsCharacteristic functionsArtin algebras.Gorenstein rings.Characteristic functions.512Iarrobino Anthony A(Anthony Ayers),1943-1521069MiAaPQMiAaPQMiAaPQBOOK9910788753303321Associated graded algebra of a Gorenstein Artin algebra3759956UNINA