Positivity in Algebraic Geometry I

Lazarsfeld, R. (2004). Positivity in Algebraic Geometry I. Springer.

Type

Book

Intellectual base

Review or monograph

Year

2004

DOI

10.1007/978-3-642-18808-4

ISBN

9783540225287

DOI registrant

Springer Nature

Link

https://doi.org/10.1007/978-3-642-18808-4

Cited by

2 citations across 2 artifacts.

Domain-specific

• Algebraic Cycle
  • The same formal mechanism generalizes: replace points by integral \(k\)-dimensional subvarieties, replace rational functions on the whole curve by rational functions on suitable subvarieties, and retain the quotient logic.
• Pseudo-canonical variety
  • … that the variety class, singularity assumptions, canonical divisor convention, and exact meaning of pseudo-ampleness are stated and the canonical class satisfies that positivity condition. to An applied instance preserves the same invariant under a changed scale, notation, jurisdiction, dataset, or implementation..

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