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 Post subject: algebraic varietiesPosted: Mon, 12 Dec 2011 08:07:52 UTC

Joined: Tue, 1 Nov 2011 05:23:23 UTC
Posts: 7
Hi all,

Need a help to find 'when certain geomtries can be viewed as algebraic varieties and determine when their automorphism groups are algebraic groups'

Thanks

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 Post subject: Re: algebraic varietiesPosted: Mon, 12 Dec 2011 09:50:36 UTC
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Joined: Mon, 29 Dec 2008 17:49:32 UTC
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Rayan_Rajapakse wrote:
Hi all,

Need a help to find 'when certain geomtries can be viewed as algebraic varieties and determine when their automorphism groups are algebraic groups'

Thanks

First define what exactly you mean by "certain geomtries".

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 Post subject: Re: algebraic varietiesPosted: Wed, 14 Dec 2011 04:56:48 UTC

Joined: Tue, 1 Nov 2011 05:23:23 UTC
Posts: 7
Yea I want to know about what type of geometries can be viewed as algebraic varieties .

Thanks.
Kanchana

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 Post subject: Re: algebraic varietiesPosted: Wed, 14 Dec 2011 05:11:46 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
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Rayan_Rajapakse wrote:
Yea I want to know about what type of geometries can be viewed as algebraic varieties .

Thanks.
Kanchana

All real manifolds are algebraic varieties if that's what you mean.

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 Post subject: Re: algebraic varietiesPosted: Wed, 14 Dec 2011 06:28:08 UTC

Joined: Tue, 1 Nov 2011 05:23:23 UTC
Posts: 7

May I have brief introduction or any source of this (what type of geomtries can be viewed as algebraic varieties and determine when their automorphism groups are algebraic groups).

Kanchana

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 Post subject: Re: algebraic varietiesPosted: Wed, 14 Dec 2011 06:31:59 UTC
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Joined: Wed, 30 Mar 2005 04:25:14 UTC
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Location: Austin, TX
Rayan_Rajapakse wrote:

May I have brief introduction or any source of this (what type of geomtries can be viewed as algebraic varieties and determine when their automorphism groups are algebraic groups).

Kanchana

I believe it was Nash that originally proved this in his paper "Real Algebraic Manifolds" which should be available on JSTOR for example.

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