The DOI matches its Crossref record; 18 of the 18 references it cites were found in a registry or an index.
Effective base point freeness
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Integrity signals
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Claims the paper makes
Claims other papers make about this one
Each is checked against this paper’s own text: does it say what the citing paper says it does?
In the citing paper
“Then D is semiample over U and if aD is Cartier, then maD is globally generated over U .”
From Existence of minimal models for varieties of log general type (2009) · cites this paper as [20]
Citations
Cites
Introduction to the Minimal Model Problem
Kawamata, Y., Matsuda, K., & Matsuki, K. (2018) · Advanced Studies in Pure Mathematics · doi:10.2969/aspm/01010283 · Cited by 957
On the Betti numbers of real varieties
Milnor, J. (1964) · Proceedings of the American Mathematical Society · doi:10.1090/s0002-9939-1964-0161339-9 · Cited by 500
Higher Direct Images of Dualizing Sheaves I
Kollar, J. (1986) · The Annals of Mathematics · doi:10.2307/1971351 · Cited by 477
Vector Bundles of Rank 2 and Linear Systems on Algebraic Surfaces
Reider, I. (1988) · Annals of Mathematics · doi:10.2307/2007055 · Cited by 471
Flips and Abundance for Algebraic Threefolds
Kollár, J. (1992) · Astérisque · Cited by 439
Self-citationRational connectedness and boundedness of Fano manifolds
Kollár, J., Miyaoka, Y., & Мори, Ш. (1992) · Journal of Differential Geometry · doi:10.4310/jdg/1214453188 · Cited by 436
Self-citationA numerical criterion for very ample line bundles
Demailly, J.-P. (1993) · Journal of Differential Geometry · doi:10.4310/jdg/1214453680 · Cited by 224
On Polarized Manifolds Whose Adjoint Bundles Are Not Semipositive
Fujita, T. (2018) · Advanced studies in pure mathematics · doi:10.2969/aspm/01010167 · Cited by 216
Shafarevich maps and plurigenera of algebraic varieties
Koll�r, J. (1993) · Inventiones Mathematicae · doi:10.1007/bf01244307 · Cited by 210
Self-citationSur L'Homologie des Varietes Algebriques Réelles
Thom, R. (1965) · Princeton University Press eBooks · doi:10.1515/9781400874842-016 · Cited by 189
Research works printed but not linked: 7
- Catanese, F.: Chow varieties, Hilbert schemes and moduli spaces of surfaces of general type. J. Algebra Geom.1, 561–596 (1992)
- Clemens, H., Kollár, J., Mori, S.: Higher dimensional complex geometry. (Asterisque, vol. 166) Paris: Soc. Math. Fr. 1988
- Esnault, H., Viehweg, E.: Revêtements cycliques II., In: Arocca, J.-M. et al. (eds.) Géométrie Algèbrique et Applications II. La Rábida, pp. 81–94. Paris: Herman 1987
- Kollár, J.: Log surfaces of general type; some conjectures. In: L'Aquilla Conference Proceedings. Contemp. Math. (to appear)
- Oguiso, K.: On polarised Calabi- Yau 3-folds. J. Fac. Sci. Univ. Tokyo38, 395–429 (1991)
- Reid, M.: Projective morphisms according to Kawamata. University of Warwick (Preprint 1983)
- Wilson, P.M.H.: On complex algebraic varieties of general type. In: Int. Symp. on Algebraic Geometry. (Symp. Math., vol. 24, pp. 65–74) London New York: Academic Press 1981
Cited by
Existence of minimal models for varieties of log general type
Birkar, C., Cascini, P., Hacon, C., & McKernan, J. (2009) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-09-00649-3 · Cited by 1,278
Metadata
- Authors
- Kollár, J.
- Venue
- Mathematische Annalen
- Published
- 1993-12
- Volume
- 296
- Issue
- 1
- Pages
- 595-605
- ISSN
- 0025-5831 (ISSN-L)
- 1432-1807
- OpenAlex
- W1986492687
- Cited by
- 118
- References
- 18
- Citations by year
- 2025: 4 · 2024: 2 · 2023: 6 · 2022: 4 · 2021: 11 · 2020: 5 · 2018: 6 · 2017: 4 · 2016: 3 · 2015: 8 · 2014: 4 · 2013: 4 · 2012: 3
- FWCI
- 12.56
- Type
- journal article
- Language
- en
- Open access
- closed
- Licence
- www.springernature.com/gp/researchers/text-and-data-mining (tdm)
- www.springernature.com/gp/researchers/text-and-data-mining (vor)
- Locations
- Mathematische Annalen (publishedVersion)
- Topics
- Physical Sciences › Mathematics › Geometry and Topology › Algebraic Geometry and Number Theory
- Physical Sciences › Mathematics › Geometry and Topology › Geometry and complex manifolds
- Physical Sciences › Mathematics › Algebra and Number Theory › Advanced Algebra and Geometry
- Keywords
- linear series, positive characteristic, Kodaira dimension
About these checks
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.
Statistics and arithmetic are recomputed, not judged.
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How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Effective base point freeness. https://app.cochat.ai/papers/10.1007/bf01445123
- The paper
- Kollár, J. (1993). Effective base point freeness. Mathematische Annalen. https://doi.org/10.1007/bf01445123
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.
