Derived algebraic geometry
Name
56017987-MIT.pdf
Description
Full printable version
Size
10.8 MB
Format
Adobe PDF
Checksum (MD5)
41b2cd8e5fc3eb139abf5ebec255c7a2
Author(s)
Lurie, Jacob, 1977-
Advisor(s)
Michael Hopkins.
Date Issued
2004
Publisher
Massachusetts Institute of Technology
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.
Description
Thesis (Ph. D.)--Massachusetts Institute of Technology, Dept. of Mathematics, 2004.
Includes bibliographical references (p. 191-193).
Subjects
Mathematics.
MIT Department
Massachusetts Institute of Technology. Department of Mathematics
Terms of Use
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.
Persistent DSpace Link
