Gorenstein Isolated Quotient Singularities of Odd Prime Dimension are Cyclic
In this article, we shall prove that Gorenstein isolated quotient singularities of odd prime dimension are cyclic. In the case where the dimension is bigger than 1 and is not an odd prime number, then there exist Gorenstein isolated noncyclic quotient singularities.
Saved in:
| Published in | Communications in algebra Vol. 40; no. 8; pp. 3010 - 3020 |
|---|---|
| Main Authors | , |
| Format | Journal Article |
| Language | English |
| Published |
Taylor & Francis Group
01.08.2012
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | In this article, we shall prove that Gorenstein isolated quotient singularities of odd prime dimension are cyclic. In the case where the dimension is bigger than 1 and is not an odd prime number, then there exist Gorenstein isolated noncyclic quotient singularities. |
|---|---|
| AbstractList | In this article, we shall prove that Gorenstein isolated quotient singularities of odd prime dimension are cyclic. In the case where the dimension is bigger than 1 and is not an odd prime number, then there exist Gorenstein isolated noncyclic quotient singularities. |
| Author | Kurano, Kazuhiko Nishi, Shougo |
| Author_xml | – sequence: 1 givenname: Kazuhiko surname: Kurano fullname: Kurano, Kazuhiko email: kurano@isc.meiji.ac.jp organization: Department of Mathematics, School of Science and Technology , Meiji University – sequence: 2 givenname: Shougo surname: Nishi fullname: Nishi, Shougo organization: Department of Mathematics, School of Science and Technology , Meiji University |
| BookMark | eNp9kF9LwzAUxYNMcJt-Ax_yBTrzp2nSJ5Gpc1CYoj6HtLmRSJdI0iH79rZMX305hwvnHC6_BZqFGACha0pWlChyQ0jNpJJsxQilK6FKztUZmlPBWVFSJmZoPkWKKXOBFjl_EkKFVGyOmk1MEPIAPuBtjr0ZwOKXQxw8hAG_-vBx6E3y45lxdHhnLX5Ofg_4fpSQfQzYJMDrY9f77hKdO9NnuPr1JXp_fHhbPxXNbrNd3zVFx4kcCm5lDc6JuoaWWakUa4WFSsmula1k7agEHC-ZYKqiVV13siqBE2aINSAkX6LytNulmHMCp7_Gn0w6akr0RET_EdETEX0iMtZuTzUfXEx78x1Tb_Vgjn1MLpnQ-az5vws_ex1prQ |
| CitedBy_id | crossref_primary_10_1017_S0013091513000643 crossref_primary_10_1017_S1474748017000172 |
| Cites_doi | 10.1007/978-1-4612-4176-8 10.1017/CBO9780511565809 10.1090/memo/0505 |
| ContentType | Journal Article |
| Copyright | Copyright Taylor & Francis Group, LLC 2012 |
| Copyright_xml | – notice: Copyright Taylor & Francis Group, LLC 2012 |
| DBID | AAYXX CITATION |
| DOI | 10.1080/00927872.2011.584338 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Mathematics |
| EISSN | 1532-4125 |
| EndPage | 3020 |
| ExternalDocumentID | 10_1080_00927872_2011_584338 584338 |
| Genre | Original Articles |
| GroupedDBID | -DZ -~X .7F .QJ 0BK 0R~ 29F 2DF 30N 3YN 4.4 5GY 5VS AAAVI AAENE AAJMT AALDU AAMIU AAPUL AAQRR ABBKH ABCCY ABFIM ABHAV ABJVF ABLIJ ABPEM ABPTK ABQHQ ABTAI ABXUL ACGEJ ACGFS ACTIO ADCVX ADGTB ADXPE AEGYZ AEISY AENEX AEOZL AEPSL AEYOC AFKVX AFOLD AFWLO AGDLA AGMYJ AHDLD AIJEM AIRXU AJWEG AKBVH AKOOK ALMA_UNASSIGNED_HOLDINGS ALQZU AQRUH AVBZW AWYRJ BLEHA CCCUG CE4 CS3 DGEBU DKSSO DU5 EBS EJD E~A E~B FUNRP FVPDL GTTXZ H13 HF~ HZ~ H~P IPNFZ J.P KYCEM M4Z NA5 NY~ O9- P2P PQEST PQQKQ RIG RNANH ROSJB RTWRZ S-T SNACF TEJ TFL TFT TFW TN5 TOXWX TTHFI TWF UPT UT5 UU3 V1K WH7 XSW ZGOLN ~S~ 07G 1TA 6TJ AAIKQ AAKBW AAYXX ABJNI ABPAQ ABTAH ABXYU ACAGQ ACGEE AEUMN AGCQS AGLEN AGROQ AHDZW AHMOU ALCKM AMXXU BCCOT BPLKW C06 CAG CITATION COF CRFIH DMQIW DWIFK H~9 IVXBP LJTGL MVM NUSFT OHT QCRFL TAQ TBQAZ TDBHL TFMCV TUROJ UB9 UU8 V3K V4Q XJT ZY4 |
| ID | FETCH-LOGICAL-c307t-3d79eff599eb2d7882b5de687cb7b72bb7b0ef34252861699c764e302a0dae573 |
| ISSN | 0092-7872 |
| IngestDate | Thu Sep 12 17:35:19 EDT 2024 Tue Jun 13 19:30:17 EDT 2023 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Issue | 8 |
| Language | English |
| LinkModel | OpenURL |
| MergedId | FETCHMERGED-LOGICAL-c307t-3d79eff599eb2d7882b5de687cb7b72bb7b0ef34252861699c764e302a0dae573 |
| PageCount | 11 |
| ParticipantIDs | informaworld_taylorfrancis_310_1080_00927872_2011_584338 crossref_primary_10_1080_00927872_2011_584338 |
| PublicationCentury | 2000 |
| PublicationDate | 2012-08-00 |
| PublicationDateYYYYMMDD | 2012-08-01 |
| PublicationDate_xml | – month: 08 year: 2012 text: 2012-08-00 |
| PublicationDecade | 2010 |
| PublicationTitle | Communications in algebra |
| PublicationYear | 2012 |
| Publisher | Taylor & Francis Group |
| Publisher_xml | – name: Taylor & Francis Group |
| References | Benson D. J. (CIT0001) 1993; 190 Rotman J. J. (CIT0003) 1995 Wolf J. A. (CIT0006) 1984 Watanabe K.-I. (CIT0004) 1974; 11 CIT0005 CIT0007 Nagata M. (CIT0002) 1962 |
| References_xml | – volume-title: An Introduction to the Theory of Groups. year: 1995 ident: CIT0003 doi: 10.1007/978-1-4612-4176-8 contributor: fullname: Rotman J. J. – volume-title: Local Rings, Interscience Tracts in Pure and Applied Mathematics year: 1962 ident: CIT0002 contributor: fullname: Nagata M. – volume: 190 volume-title: Polynomial Invariants of Finite Groups year: 1993 ident: CIT0001 doi: 10.1017/CBO9780511565809 contributor: fullname: Benson D. J. – volume: 11 start-page: 1 year: 1974 ident: CIT0004 publication-title: Osaka J. Math. contributor: fullname: Watanabe K.-I. – ident: CIT0005 – volume-title: Spaces of Constant Curvature. year: 1984 ident: CIT0006 contributor: fullname: Wolf J. A. – ident: CIT0007 doi: 10.1090/memo/0505 |
| SSID | ssj0015782 |
| Score | 1.9997505 |
| Snippet | In this article, we shall prove that Gorenstein isolated quotient singularities of odd prime dimension are cyclic. In the case where the dimension is bigger... |
| SourceID | crossref informaworld |
| SourceType | Aggregation Database Publisher |
| StartPage | 3010 |
| SubjectTerms | Cyclic quotient singularity Gorenstein Isolated singularity Primary 13A50 Secondary 14L30 |
| Title | Gorenstein Isolated Quotient Singularities of Odd Prime Dimension are Cyclic |
| URI | https://www.tandfonline.com/doi/abs/10.1080/00927872.2011.584338 |
| Volume | 40 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1Nb9QwELWgvcAB8SkKBfnAbZUqaydxfKxaYPkoCLUVFZcodibqqnSDluyh_fV9jpNsAlVFuVi7kdbOZp6eZ5yZN4y9ESFJS0oHQhYCAUpEgVHWVXLlMtHCwAl25x0HX5LZcfTxJD5ZJ7E31SW12bGX19aV_I9VcQ12dVWyt7BsPyku4DPsixEWxvhPNn5fLRGFun6Vkw9YKXfe47dV1SilTg6xKbkc00Yy1fmEXwtXFzA_J_Dcuctbd4nIS5rsXdifczv0UkdVI03CrOsGYpY9hX9aYYurfDbG5ep0flYN3m80bYInh6dwzavhoYLLzki7Q4WWKDUc79R31dmhjhthzamvU-7I02sttSBJB0wI4ggHu6oMm5q3vxm7S3HUwi3nNVXhFEmv-TIWyP5j4-rTCae9zqmfJXOzZH6Wu2xTgINAfpu7s_0f3_tXTE7H30uU-n_a1VU64fVr7mbkt4xUbQf-yNFD9qANJPiuR8UjdocWj9n9g16F9_cT9nmND97hg3f44CN88KrkwAdv8MF7fHDgg3t8PGXH794e7c2CtntGYMHbdSALpaksY63JiEIhkjJxQUmqrFFGCYMxpFKCs0WaTBOtrUoigp3ysMgpVvIZ21hUC3rOOL4rUjGpXE4jImvg-MQUGY3oQBdxvsWC7tlkv7xISnaTTbZYOnyAWd0cTpW-k0wmb_rpi1su9ZLdW-N7m23UyxW9ghtZm9ctIK4Akuxqlw |
| link.rule.ids | 315,783,787,27936,27937,60214,61003 |
| linkProvider | Library Specific Holdings |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpZ3NT8IwFMAbxYN68NuInz14HY52W-nRoAgKqBESb8vaviVGAwbGQf96X1dGwEQPelmyLF229rXvo6-_R8g584FrENJj3DB0UALwlND2JFfCI8kUGsE23tHpRs1-cPscFtmE42lapfWhUweKyNdqO7ltMLpIibuwoCAUNOYInKhC0c9aJiuR5X_ZUxx-d7aRYGntDkSJhiQ2KU7P_fCWBe20wC6d0zqNTaKK73XJJq-VSaYq-vMbyvFfP7RFNqY2Kb10QrRNlmCwQ9Y7M6DreJe0b4YjdHhtaUzaQnFFC9XQx8kwh7LSJ9R_Np01p7PSYUrvjaEPtnAAvbLVA2xEjiYjoPUP_fai90i_cd2rN71pIQZP4xKQedwICWkaSol-uEGnmanQQFQTWgklmMKrDynH6c9qUTWSUosoAO6zxDcJhILvk9JgOIADQvFegAhBJLwaAGiFOjSEQEk0NKUJkzLxigGI3x1vI67OMKaul2LbS7HrpTKpzY9SnOVxjtQVJYn5b00P_970jKw2e5123G51747IGj5hLinwmJSy0QRO0FDJ1Gkuil-k6Nr9 |
| linkToPdf | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwpV1LT8JAEN4oJkYPvo343IPXYtltu-zRgAgKiFESbk13d5oYDRAsB_31znaBgIke9NKkaaZpp7M730xnviHkkvnANQjpMW4YBigBeEpo28mV8EgyhSDY5jvanajRC-76YX-hi9-WVdoYOnVEEflebRf3yKSzirgryxOEdsYcASd6UAyzVskaAgHfWjr3O_P_CJas3fFQIo5EkVnz3A93WXJOS9SlC06nvk2S2eO6WpPX0iRTJf35jcnxP--zQ7amiJReOxPaJSsw2COb7Tmd6_s-ad0Oxxju2sGYtInGivjU0MfJMKdkpU_o_Wwxa87NSocpfTCGdu3YAFqzswNsPo4mY6DVD_32og9Ir37zXG140zEMnsYNIPO4ERLSNJQSo3CDITNToYGoIrQSSjCFRx9SjoufVaJyJKUWUQDcZ4lvEggFPySFwXAAR4TiuQARgkh4OQDQCj1oCIGSCDOlCZMi8Wb6j0eObSMuz0lMnZZiq6XYaalIKosfKc7yLEfqRpLE_DfR47-LXpD1bq0et5qd-xOygReYqwg8JYVsPIEzRCmZOs8N8QsiQdmq |
| openUrl | ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Gorenstein+Isolated+Quotient+Singularities+of+Odd+Prime+Dimension+are+Cyclic&rft.jtitle=Communications+in+algebra&rft.au=Kurano%2C+Kazuhiko&rft.au=Nishi%2C+Shougo&rft.date=2012-08-01&rft.issn=0092-7872&rft.eissn=1532-4125&rft.volume=40&rft.issue=8&rft.spage=3010&rft.epage=3020&rft_id=info:doi/10.1080%2F00927872.2011.584338&rft.externalDBID=n%2Fa&rft.externalDocID=10_1080_00927872_2011_584338 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0092-7872&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0092-7872&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0092-7872&client=summon |