Abstract/Details

Derived algebraic geometry

Lurie, Jacob. 
 Massachusetts Institute of Technology ProQuest Dissertations Publishing,  2004. 0806251.

Abstract (summary)

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. (Copies available exclusively from MIT Libraries, Rm. 14-0551, Cambridge, MA 02139-4307. Ph. 617-253-5668; Fax 617-253-1690.)

Indexing (details)


Subject
Mathematics
Classification
0405: Mathematics
Identifier / keyword
Pure sciences; Algebraic geometry; Commutative rings; Geometric objects
Title
Derived algebraic geometry
Author
Lurie, Jacob
Number of pages
0
Degree date
2004
School code
0753
Source
DAI-B 65/04, Dissertation Abstracts International
Place of publication
Ann Arbor
Country of publication
United States
Advisor
Hopkins, Michael
University/institution
Massachusetts Institute of Technology
University location
United States -- Massachusetts
Degree
Ph.D.
Source type
Dissertation or Thesis
Language
English
Document type
Dissertation/Thesis
Dissertation/thesis number
0806251
ProQuest document ID
305095302
Copyright
Database copyright ProQuest LLC; ProQuest does not claim copyright in the individual underlying works.
Document URL
https://www.proquest.com/docview/305095302