Cohomology of Sheaves

Birger Iversen, C. (1986). Cohomology of Sheaves. Springer.

Type

Book

Intellectual base

Review or monograph

Year

1986

DOI

10.1007/978-3-642-82783-9

ISBN

9783540163893

Link

https://doi.org/10.1007/978-3-642-82783-9

Cited by

2 citations across 2 artifacts.

Domain-specific

• Direct image with compact support
  • The direct image with compact support \(f_!\mathcal F\) is the subsheaf of \(f_*\mathcal F\) whose sections over \(U\subseteq Y\) have support mapping properly to (U); in the locally compact Hausdorff setting this is the standard proper-support direct image.
• Inverse image functor
  • … of f(U), sheafification, inverse-image sheaf f inverse G, action on morphisms, stalk isomorphism at x, adjunction with direct image and exactness and module or ringed-space variant are explicit. to An applied instance preserves the invariant under changed notation, scale, dataset, jurisdiction, or implementation..

Verification

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Registry ID ref:eb645bbfa520 · see in the full table