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Let be an irreducible smooth complex projective curve of genus and let be its -fold symmetric product. In this paper, we study the question of semi-orthogonal decompositions of the derived category of . This entails investigations of the canonical system on , in particular its base locus.
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Indranil Biswas, Tomás Gómez, Kyoung-Seog Lee, Semi-orthogonal decomposition of symmetric products of curves and canonical system. Rev. Mat. Iberoam. 37 (2021), no. 5, pp. 1885–1896DOI 10.4171/RMI/1251