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Quotient complete intersections of affine spaces by finite linear groups
| Content Provider | Scilit |
|---|---|
| Author | Nakajima, Haruhisa |
| Copyright Year | 1985 |
| Description | Let G be a finite subgroup of $GL_{n}$(C) acting naturally on an affine space $C^{n}$ of dimension n over the complex number field C and denote by $C^{n}$/G the quotient variety of $C^{n}$ under this action of G. The purpose of this paper is to determine G completely such that $C^{n}$/G is a complete intersection (abbrev. CI.) i.e. its coordinate ring is a C.I. when n > 10. Our main result is (5.1). Since the subgroup N generated by all pseudo-reflections in G is a normal subgroup of G and $C^{n}$/G is obtained as the quotient variety of without loss of generality, we may assume that G is a subgroup of $SL_{n}$(C) (cf. [6, 16, 24, 25]). |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/8805FD35607EC2ED4F46930DB74E2127/S0027763000021334a.pdf/div-class-title-quotient-complete-intersections-of-affine-spaces-by-finite-linear-groups-div.pdf |
| ISSN | 00277630 |
| e-ISSN | 21526842 |
| DOI | 10.1017/s0027763000021334 |
| Journal | Nagoya Mathematical Journal |
| Volume Number | 98 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1985-06-01 |
| Access Restriction | Open |
| Subject Keyword | Nagoya Mathematical Journal Complete Intersection Affine Spaces |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
