Geodesic
Analogs of Torelli's theorem for multidimensional vector bundles over an arbitrary algebraic curve
Izvestiya. Mathematics , Tome 4 (1970) no. 2, pp. 343-370

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It is prored that the space of moduli of stable bundles over a curve with fixed determinant and relatively prime degree and dimension uniquely determines the curve. 
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     author = {A. N. Tyurin},
     title = {Analogs of {Torelli's} theorem for multidimensional vector bundles over an arbitrary algebraic curve},
     journal = {Izvestiya. Mathematics },
     pages = {343--370},
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     volume = {4},
     number = {2},
     year = {1970},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a4/}
}
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A. N. Tyurin. Analogs of Torelli's theorem for multidimensional vector bundles over an arbitrary algebraic curve. Izvestiya. Mathematics , Tome 4 (1970) no. 2, pp. 343-370. http://geodesic.mathdoc.fr/item/IM2_1970_4_2_a4/