The DOI matches its Crossref record.
Foundations of Algebraic Geometry
Abstract
This classic is one of the cornerstones of modern algebraic geometry. At the same time, it is entirely self-contained, assuming no knowledge whatsoever of algebraic geometry, and no knowledge of modern algebra beyond the simplest facts about abstract fields and their extensions, and the bare rudiments of the theory of ideals.
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Citations
Cited by
Modèles minimaux des variétés abéliennes sur les corps locaux et globaux
Néron, A. (1964) · Publications Mathématiques de l'IHÉS · doi:10.1007/bf02684271 · Cited by 337
Bloch, S. (2010) · Cambridge University Press eBooks · doi:10.1017/cbo9780511760693 · Cited by 321
Algebraic Cohomology and Deformation Theory
Gerstenhaber, M., & Schack, S. D. (1988) · Deformation Theory of Algebras and Structures and Applications · doi:10.1007/978-94-009-3057-5_2 · Cited by 259
Metadata
- Authors
- Weil, A.
- Venue
- Colloquium Publications
- Publisher
- American Mathematical Society
- Published
- 1946-12-31
- ISSN
- 0065-9258 (ISSN-L)
- OpenAlex
- W1506763190
- Cited by
- 564
- References
- 0
- FWCI
- 10.57
- Type
- book
- Language
- en
- Open access
- closed
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Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
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- CoChat. (2026). Citation check: Foundations of Algebraic Geometry. https://app.cochat.ai/papers/10.1090/coll/029
- The paper
- Weil, A. (1946). Foundations of Algebraic Geometry. Colloquium Publications. https://doi.org/10.1090/coll/029
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.