Titlebook: Deformation Theory; Robin Hartshorne Textbook 2010 Springer-Verlag New York 2010 Hilbert scheme.deformation theory.first-order deformation

誘導(dǎo)

conjunctiva

Global Questions,perties of a functor that help determine whether it may be representable. The “easy” cases—that is, easy to state, though the proofs are not easy—are the cases of closed subschemes and invertible sheaves, Situations A and B, where the functor is representable respectively by the Hilbert scheme and the Picard scheme (Section 24).

cortex

構(gòu)成

四溢

MOCK

cutlery

安慰

https://doi.org/10.1007/978-94-017-1255-2unctors, which are needed to discuss deformations of abstract schemes (Situation D) in Section 5. In Section 4 we examine the special role of nonsingular varieties, using the infini-tesimal lifting property and the .. functors. We also show that the relative notion of a smooth morphism is characterized by the vanishing of the relative .. functors.

FLOUR

A. S. Markov,V. A. Romanov,N. B. Shaykhonjects 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.

BLINK

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