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An elementary,
explicit, proof of the existence of Quot schemes of
points
Trond Stølen Gustavsen, Dan Laksov and Roy Mikael Skjelnes |
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Vol. 231 (2007), No. 2, 401–415
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Abstract |
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We give an easy and elementary construction of quotient schemes of modules of relatively finite rank under very general conditions. The construction provides a natural, explicit description of an affine covering of the quotient schemes, that is useful in many situation. |
Keywords
Hilbert schemes, quotient schemes
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Mathematical Subject Classification 2000
Primary: 14D20, 14A15
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Milestones
Received: 28 January 2007
Revised: 16 May 2007
Accepted: 23 May 2007
Published: 1 June 2007
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Authors |
| Trond Stølen Gustavsen | |
| Department of Economics BI Norwegian School of Management N-0442 Oslo Norway |
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| Dan Laksov | |
| Department of Mathematics KTH S-100 44 Stockholm Sweden |
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| Roy Mikael Skjelnes | |
| Department of Mathematics KTH S-100 44 Stockholm Sweden |
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