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Formal Moduli

  • Robin Hartshorne
Chapter
Part of the Graduate Texts in Mathematics book series (GTM, volume 257)

Abstract

In the previous two chapters we have studied infinitesimal deformations of scheme and sheaves in preparation for the study of global moduli questions. The ideal or gold standard for a moduli space is the model represented by the Hilbert scheme (1.1): there is a scheme whose points parametrize the objects in question, there is a universal family over this scheme, and any other family is obtained by a unique base extension from the universal family. In general, moduli problems do not have such a nice answer, and even if they do, the existence may be quite subtle.

Keywords

Modulus Space Formal Modulus Complete Intersection Artin Ring Versal Family 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Robin Hartshorne 2010

Authors and Affiliations

  1. 1.Department of MathematicsUniversity of CaliforniaBerkeleyUSA

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