On the Hilbert function of a finite scheme contained in a quadric surface

• Maican, Mario ^[1]
  1. [1] Institute of Mathematics of the Romanian Academy, Calea Grivitei 21, Bucharest, 010702, Romania
• Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 75, Fasc. 3, 2024, págs. 671-691
• Idioma: inglés
• DOI: 10.1007/s13348-023-00406-8
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• Resumen

  • Consider a finite scheme of length l contained in a smooth quadric surface over the complex numbers. We determine the number of linearly independent curves passing through the scheme, of degree at least l - 2.