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| In algebraic geometry, a '''derived scheme''' is a pair <math>(X, \mathcal{O})</math> consisting of a [[topological space]] ''X'' and a [[sheaf of spectra|sheaf]] <math>\mathcal{O}</math> of [[commutative ring spectrum|commutative ring spectra]] <ref>also often called <math>E_\infty</math>-ring spectra</ref> on ''X'' such that (1) the pair <math>(X, \pi_0 \mathcal{O})</math> is a [[scheme (mathematics)|scheme]] and (2) <math>\pi_k \mathcal{O}</math> is a [[quasi-coherent sheaf|quasi-coherent]] <math>\pi_0 \mathcal{O}</math>-module. The notion gives a homotopy-theoretic generalization of a scheme.
| | Hello from Austria. I'm glad to came across you. My first name is Rene. <br>I live in a town called Dangelsbach in western Austria.<br>I was also born in Dangelsbach 36 years ago. Married in April 2008. I'm working at the backery.<br><br>My website; get help for your health; [http://www.naturalhealthandwealth.com www.naturalhealthandwealth.com], |
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| Just as affine algebraic geometry is equivalent (in categorical sense) to the theory of [[commutative ring]]s (commonly called [[commutative algebra]]), affine derived algebraic geometry is (roughly in homotopical sense) equivalent to the theory of [[differential graded algebra|commutative differential graded rings]].
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| == Notes ==
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| {{reflist}}
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| == References ==
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| *P. Goerss, [http://www.math.northwestern.edu/~pgoerss/papers/Exp.1005.P.Goerss.pdf Topological Modular Forms <nowiki>[after Hopkins, Miller, and Lurie]</nowiki>]
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| * B. Toën, [http://math.berkeley.edu/~aaron/gaelxx/DAG.pdf Introduction to derived algebraic geometry]
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| {{geometry-stub}}
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| [[Category:Algebraic geometry]]
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Latest revision as of 02:51, 8 December 2014
Hello from Austria. I'm glad to came across you. My first name is Rene.
I live in a town called Dangelsbach in western Austria.
I was also born in Dangelsbach 36 years ago. Married in April 2008. I'm working at the backery.
My website; get help for your health; www.naturalhealthandwealth.com,