vector bundle on curves;
vector bundles on Riemann surfaces;
stable vector bundle;
semistable vector bundles;
meromorphic maps between vector bundles;
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摘要:
In this paper we study meromorphic maps between vector bundles on a Riemann surface. We are mainly interested in stable vector bundles. For a huge number of numerical data we prove the existence of a meromorphic map between two vector bundles with a prescribed number of zeroes and a prescribed number of poles.
机构:
Jagiellonian Univ, Inst Math, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, PolandJagiellonian Univ, Inst Math, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
Kucharz, Wojciech
Kurdyka, Krzysztof
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机构:
Univ Savoie Mont Blanc, Lab Math, UMR CNRS 5127, Campus Sci, F-73376 Le Bourget Du Lac, FranceJagiellonian Univ, Inst Math, Fac Math & Comp Sci, Ul Lojasiewicza 6, PL-30348 Krakow, Poland
Kurdyka, Krzysztof
JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK,
2018,
745
: 105
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154
机构:
NYU, Courant Inst, 251 Mercer Str, New York, NY 10012 USA
Natl Res Univ Higher Sch Econ, Dept Math, Lab Algebra Geometry, 6 Usacheva Str, Moscow 119048, RussiaNYU, Courant Inst, 251 Mercer Str, New York, NY 10012 USA
Bogomolov, Fedor A.
Lukzen, Elena
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SISSA, Via Bonomea 265, I-34136 Trieste, ItalyNYU, Courant Inst, 251 Mercer Str, New York, NY 10012 USA