Geodesic
Topologically Trivial Sheaves on Curves with Simplest Singularities
Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 10-19.

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Topologically trivial vector bundles on nodal curves were considered in Tyurin's book Quantization, Classical and Quantum Field Theory, and Theta Functions. In the present paper, a compactification of the moduli of such vector bundles by topologically trivial torsion-free sheaves is constructed, and a stability criterion for topologically trivial sheaves of ranks $1$ and $2$ is given. 
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I. V. Artamkin. Topologically Trivial Sheaves on Curves with Simplest Singularities. Informatics and Automation, Algebraic geometry: Methods, relations, and applications, Tome 246 (2004), pp. 10-19. http://geodesic.mathdoc.fr/item/TRSPY_2004_246_a1/

[1] Tyurin A. N., Kvantovanie, klassicheskaya i kvantovaya teoriya polya i teta-funktsii, Inst. kompyut. issled., Moskva. Izhevsk, 2003 | Zbl

[2] Dedonne Zh., Kerrol Dzh., Mamford D., Geometricheskaya teoriya invariantov, Mir, M., 1974 | MR

[3] Oda T., Seshadri C. S., “Compactifications of the generalized Jacobian variety”, Trans. Amer. Math. Soc., 253 (1979), 1–90 | DOI | MR | Zbl

[4] Danilov V. I., “Geometriya toricheskikh mnogoobrazii”, UMN, 33:2 (1978), 85–133 | MR

[5] Bhosle U., “Generalised parabolic bundles and applications to torsion-free sheaves on nodal curves”, Ark. Mat., 30:2 (1992), 187–215 | DOI | MR | Zbl

[6] Artamkin I. V., “Kanonicheskie otobrazheniya punktirovannykh krivykh s prosteishimi osobennostyami”, Mat. sb., 195:5 (2004), 3–32 | MR | Zbl