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

• Indranil Biswas ^[3] ; Tomás Gómez ^[1] ; Kyoung-Seog Lee ^[2]
  1. [1] Universidad Autónoma de Madrid

     Universidad Autónoma de Madrid

     Madrid, España

     
  2. [2] Institute for Basic Science

     Institute for Basic Science

     Corea del Sur

     
  3. [3] Tata Institute of Fundamental Research, Mumbai, India

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• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 37, Nº 5, 2021, págs. 1885-1896
• Idioma: inglés
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• Resumen

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