Advanced Search

Derived algebraic geometry

Research and Teaching Output of the MIT Community

Show simple item record

dc.contributor.advisor Michael Hopkins. en_US Lurie, Jacob, 1977- en_US
dc.contributor.other Massachusetts Institute of Technology. Dept. of Mathematics. en_US 2006-03-24T18:23:33Z 2006-03-24T18:23:33Z 2004 en_US 2004 en_US
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.subject Mathematics. en_US
dc.title Derived algebraic geometry en_US
dc.type Thesis en_US Ph.D. en_US
dc.contributor.department Massachusetts Institute of Technology. Dept. of Mathematics. en_US
dc.identifier.oclc 56017987 en_US

Files in this item

Name Size Format Description
56017987-MIT.pdf 10.79Mb PDF Full printable version

This item appears in the following Collection(s)

Show simple item record