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Derived algebraic geometry

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dc.contributor.advisor Michael Hopkins. en_US
dc.contributor.author Lurie, Jacob, 1977- en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.date.accessioned 2006-03-24T18:23:33Z
dc.date.available 2006-03-24T18:23:33Z
dc.date.copyright 2004 en_US
dc.date.issued 2004 en_US
dc.identifier.uri http://hdl.handle.net/1721.1/30144
dc.description Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004. en_US
dc.description Includes bibliographical references (p. 191-193). en_US
dc.description.abstract The purpose of this document is to establish the foundations for a theory of derived algebraic geometry based upon simplicial commutative rings. We define derived versions of schemes, algebraic spaces, and algebraic stacks. Our main result is a derived analogue of Artin's representability theorem, which provides a precise criteria for the representability of a moduli functor by geometric objects of these types. en_US
dc.description.statementofresponsibility by Jacob Lurie. en_US
dc.format.extent 193 p. en_US
dc.format.extent 11322244 bytes
dc.format.extent 11322052 bytes
dc.format.mimetype application/pdf
dc.format.mimetype application/pdf
dc.language.iso eng en_US
dc.publisher Massachusetts Institute of Technology en_US
dc.rights M.I.T. theses are protected by copyright. They may be viewed from this source for any purpose, but reproduction or distribution in any format is prohibited without written permission. See provided URL for inquiries about permission. en_US
dc.rights.uri http://dspace.mit.edu/handle/1721.1/7582
dc.subject Mathematics. en_US
dc.title Derived algebraic geometry en_US
dc.type Thesis en_US
dc.description.degree Ph.D. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.identifier.oclc 56017987 en_US


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