The DOI matches its Crossref record; 4 of the 4 references it cites were found in a registry or an index.
Stable pairs, linear systems and the Verlinde formula
Abstract
We study the moduli problem of pairs consisting of a rank 2 vector bundle and a nonzero section over a fixed smooth curve. The stability condition involves a parameter; as it varies, we show that the moduli space undergoes a sequence of flips in the sense of Mori. As applications, we prove several results about moduli spaces of rank 2 bundles, including the Harder-Narasimhan formula and the SU(2) Verlinde formula. Indeed, we prove a general result on the space of sections of powers of the ideal sheaf of a curve in projective space, which includes the Verlinde formula.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Hartshorne, R. (1977) · Graduate texts in mathematics · doi:10.1007/978-1-4757-3849-0 · Cited by 6,960
Principles of Algebraic Geometry
Griffiths, P., & Harris, J. (1994) · Wiley · doi:10.1002/9781118032527 · Cited by 6,765
Mumford, D., Fogarty, J., & Kirwan, F. (1994) · Springer Grundlehren · doi:10.1007/978-3-642-57916-5 · Cited by 2,564
Arbarello, E., Cornalba, M., Griffiths, P. A., & Harris, J. (1985) · Grundlehren der mathematischen Wissenschaften · doi:10.1007/978-1-4757-5323-3 · Cited by 2,025
Cited by
Phases of N = 2 theories in two dimensions
Witten, E. (1993) · Nuclear Physics B · doi:10.1016/0550-3213(93)90033-l · Cited by 1,732
(2004) · Rational and Nearly Rational Varieties · doi:10.1017/cbo9780511734991.007 · Cited by 324
Metadata
- Authors
- Thaddeus, M.
- Venue
- Inventiones Mathematicae
- Published
- 1994-12
- Volume
- 117
- Issue
- 1
- Pages
- 317-353
- ISSN
- 0020-9910 (ISSN-L)
- 1432-1297
- OpenAlex
- W2076459508
- Cited by
- 259
- References
- 4
- FWCI
- 28.29
- Type
- journal article
- Language
- en
- Open access
- closed
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.
Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.
What counts as a claim ›How we measure confidence ›How we check this ›
Are you an author, or do you see a problem with this page? Request a review
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.
