An introduction to complex analysis in several variables
Book
Domain Context
Foundations and Logic
Citation
Hörmander, Lars. (1990). An introduction to complex analysis in several variables. North-Holland.
Why this reference is included
Hörmander’s An introduction to complex analysis in several variables (1990), published by North-Holland, sits in the program’s reference corpus as a standing technical source. Cited across Book II (Categorical Holomorphy), Part 6, Chapter Sheaf Coherence from ω-Germ Compatibility; Book II (Categorical Holomorphy), Part 9, Chapter Hartogs Extension in H_τ; Book II (Categorical Holomorphy), Part 11, Chapter Why τ³ Has No Dimensional Ladder — the central framing is “A sheaf is a presheaf with two additional properties: local data that agrees on overlaps can be glued into global data (the gluing axiom), and a global section that vanishes…”.
Cited in
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Book II — Categorical Holomorphy Part 6Chapter Sheaf Coherence from ω-Germ Compatibility
A sheaf is a presheaf with two additional properties: local data that agrees on overlaps can be glued into global data (the gluing axiom), and a global section that vanishes locally vanishes globally (the locality axiom)
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Book II — Categorical Holomorphy Part 9Chapter Hartogs Extension in H_τ
Classical several complex variables (SCV) answers a related question via the Hartogs extension theorem : a holomorphic function defined on the complement of a compact subset of a domain in ℂ^n (n ≥ 2) extends uniquely to the full domain
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Book II — Categorical Holomorphy Part 11Chapter Why τ³ Has No Dimensional Ladder
We survey the ladder rung by rung, following the standard development of Krantz , Range , and Hörmander