Semi-orthogonal decomposition of symmetric products of curves and canonical system

Semi-orthogonal decomposition of symmetric products of curves and canonical system

Let C be an irreducible smooth complex projective curve of genus g\geq 2 and let C_d be its d -fold symmetric product. In this paper, we study the question of semi-orthogonal decompositions of the derived category of C_d . This entails investigations of the canonical system on C_d , in particular it...

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Veröffentlicht in:Revista matemática iberoamericana 2021-07, Vol.37 (5), p.1885-1896
Hauptverfasser: Biswas, Indranil, Gomez, Tomas L, Lee, Kyoung-Seog
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Lee, Kyoung-Seog
description Let C be an irreducible smooth complex projective curve of genus g\geq 2 and let C_d be its d -fold symmetric product. In this paper, we study the question of semi-orthogonal decompositions of the derived category of C_d . This entails investigations of the canonical system on C_d , in particular its base locus.
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