ID | 54560 |
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Abstract | We classify the linearly reductive finite subgroup schemes G of SL2=SL(V) over an algebraically closed field k of positive characteristic, up to conjugation. As a corollary, we prove that such G is in one-to-one correspondence with an isomorphism class of two-dimensional F-rational Gorenstein complete local rings with the coefficient field k by the correspondence G↦((SymV)G) ˆ.
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Keywords | Group scheme
Kleinian singularity
Invariant theory
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Note | The final publication is available at Springer via http://dx.doi.org/10.1007/s40306-015-0145-9
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Published Date | 2015-09
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Publication Title |
Acta Mathematica Vietnamica
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Volume | volume40
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Issue | issue3
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Publisher | Springer Singapore
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Start Page | 527
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End Page | 534
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ISSN | 0251-4184
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NCID | AA00508328
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Content Type |
Journal Article
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language |
English
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OAI-PMH Set |
岡山大学
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Copyright Holders | © Institute of Mathematics, Vietnam Academy of Science and Technology (VAST) and Springer Science+Business Media Singapore 2015
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File Version | author
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DOI | |
Official Url | http://link.springer.com/article/10.1007%2Fs40306-015-0145-9
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