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

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細(xì)胞學(xué)

Deformation Theory978-1-4419-1596-2Series ISSN 0072-5285 Series E-ISSN 2197-5612

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https://doi.org/10.1007/978-94-017-1255-2ood of a given element. A typical situation would be a flat morphism of schemes f : X → T. For varying t ∈ T we regard the fibers X. as a family of schemes. Deformation theory is the infinitesimal study of the family in the neighborhood of a special fiber X..

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978-1-4614-2520-5Springer-Verlag New York 2010

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Introduction,ood of a given element. A typical situation would be a flat morphism of schemes f : X → T. For varying t ∈ T we regard the fibers X. as a family of schemes. Deformation theory is the infinitesimal study of the family in the neighborhood of a special fiber X..

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Higher-Order Deformations, can track the deformations explicitly and show that they are unobstructed. In Section 11 we show how an obstruction theory affects the local ring of the corresponding para-meter space, and in Section 12 we apply this to prove a classical bound on the dimension of the Hilbert scheme of curves in P..