The Geometry of Schemes

Eisenbud, D., & Harris, J. (2000). The Geometry of Schemes. Springer.

Type

Book

Intellectual base

Review or monograph

Year

2000

Link

https://openlibrary.org/works/OL473817W not authoritativefound

Cited by

3 citations across 3 artifacts.

Each citation links to the sentence it supports in the citing article.

Domain-specific

• Arithmetic surface
  • Relative and absolute dimension conventions must be separated, regularity properness and flatness vary by author, and bad special fibers are part of the arithmetic geometry rather than mere reductions of a fixed smooth shape.
• Degeneration (algebraic geometry)
  • … and special point, morphism, general and special fibers, flatness and properness assumptions, triviality away from the special fiber, and preserved or jumping invariants are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Universal property
  • . Algebraic geometry — representable functors and moduli spaces are defined as the object representing a functor of families

    This sourceThe functor-of-points treatment in which a scheme, the Hilbert scheme and moduli spaces are characterised by the functor they represent.

    SupportedVerified against the source

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Verification

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