The DOI matches its Crossref record; 1 of the 1 references it cites were found in a registry or an index.
The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface
Abstract
Part I. The problem and its background ? 1. Formulation of the problem ? 2. A ring-theoretic aspect of the problem ? 3. Connection with the generalized 14th problem of Hilbert Part II. Preliminary results on linear systems free from base points ? 4. On certain graded subrings in function fields ? 5. On certain graded R*-modules defined by linear systems ? 6. Applications to non-singular algebraic surfaces Part III. Solution of the general problem ? 7. The arithmetically negative component of an effective cycle D ? 8. Reduction to the case of arithmetically effective cycles ? 9. A theorem on arithmetically effective cycles ?10. Boundedness of the superabundance and of the fixed component of InDI (D arithmetically effective, (D of type (1, t)) ?11. The case D?O< ? ?12. A summary of principal results APPENDIX. The canonical ring of an algebraic surface. By DAVID MUMFORD.
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Citations
Cites
Non-degenerate divisors on an algebraic surface
Nakai, Y. (1960) · Hiroshima Mathematical Journal · doi:10.32917/hmj/1555639738 · Cited by 10
Cited by
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
(2007) · doi:10.1093/acprof:oso/9780198570615.001.0001 · Cited by 56
Metadata
- Authors
- Zariski, O.
- Venue
- The Annals of Mathematics
- Publisher
- JSTOR
- Published
- 1962-11
- Volume
- 76
- Issue
- 3
- Pages
- 560
- ISSN
- 0003-486X (ISSN-L)
- OpenAlex
- W1979976185
- Cited by
- 278
- References
- 1
- FWCI
- 0.00
- Type
- journal article
- Language
- en
- Open access
- closed
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- Zariski, O. (1962). The Theorem of Riemann-Roch for High Multiples of an Effective Divisor on an Algebraic Surface. The Annals of Mathematics. https://doi.org/10.2307/1970376
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