Cones and Segre Classes

Fulton, W. (1998). Cones and Segre Classes. Intersection Theory.

Type

Book

Intellectual base

Review or monograph

Year

1998

DOI

10.1007/978-1-4612-1700-8

ISBN

9780387985497

Link

https://doi.org/10.1007/978-1-4612-1700-8

Cited by

6 citations across 6 artifacts.

Domain-specific

• Algebraic Cycle
  • Other equivalence relations, such as algebraic, homological, or numerical equivalence, answer different questions and must not be silently substituted for rational equivalence.
• Cone (algebraic geometry)
  • … directly demonstrates that the base scheme, graded quasi-coherent algebra, degree-zero part, relative Spec or Proj convention, scaling action, and finiteness assumptions are explicit. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..
• Morphism of algebraic varieties
  • A morphism of varieties is a continuous map in the Zariski topology whose coordinate pullbacks are regular functions, equivalently a locally polynomial map on affine charts under standard conventions.
• Projective bundle
  • … that the base space or scheme, topology, fiber dimension, transition maps, projectivization convention, associated vector bundle if present and obstruction or twisting class are explicit. to An applied instance preserves the same invariant under changed scale, notation, jurisdiction, dataset, or implementation..
• Ruled join
  • The entry records a descriptive analytical identity; practical use requires the governing domain's evidence, standards, and safety obligations.
• Segre Class
  • William Fulton's treatment makes this construction a basic ingredient of modern intersection theory.

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