# Holomorphic triples of genus 0

Stefano Pasotti; Francesco Prantil

Open Mathematics (2008)

- Volume: 6, Issue: 1, page 129-142
- ISSN: 2391-5455

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topStefano Pasotti, and Francesco Prantil. "Holomorphic triples of genus 0." Open Mathematics 6.1 (2008): 129-142. <http://eudml.org/doc/269439>.

@article{StefanoPasotti2008,

abstract = {Here we study the relationship between the stability of coherent systems and the stability of holomorphic triples over a curve of arbitrary genus. Moreover we apply these results to study some properties and give some examples of holomorphic triples on the projective line.},

author = {Stefano Pasotti, Francesco Prantil},

journal = {Open Mathematics},

keywords = {Holomorphic triples; coherent systems; vector bundles; projective line; epistability; coherent system; stable vector bundle; vector bundles on curves},

language = {eng},

number = {1},

pages = {129-142},

title = {Holomorphic triples of genus 0},

url = {http://eudml.org/doc/269439},

volume = {6},

year = {2008},

}

TY - JOUR

AU - Stefano Pasotti

AU - Francesco Prantil

TI - Holomorphic triples of genus 0

JO - Open Mathematics

PY - 2008

VL - 6

IS - 1

SP - 129

EP - 142

AB - Here we study the relationship between the stability of coherent systems and the stability of holomorphic triples over a curve of arbitrary genus. Moreover we apply these results to study some properties and give some examples of holomorphic triples on the projective line.

LA - eng

KW - Holomorphic triples; coherent systems; vector bundles; projective line; epistability; coherent system; stable vector bundle; vector bundles on curves

UR - http://eudml.org/doc/269439

ER -

## References

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- [10] Lange H., Newstead P.E., Coherent systems of genus 0, Internat. J. Math., 2004, 15, 409–424 http://dx.doi.org/10.1142/S0129167X04002326 Zbl1072.14039
- [11] Lange H., Newstead P.E., Coherent systems of genus 0 II Existence results for k ≥ 3, Internat. J. Math., 2007, 18, 363–393 http://dx.doi.org/10.1142/S0129167X07004072 Zbl1114.14022
- [12] Pasotti S., Prantil F., Holomorphic triples on elliptic curves, Results Math., 2007, 50, 227–239 http://dx.doi.org/10.1007/s00025-007-0248-2
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