Hyperplane sections of Legendrian subvarieties

• Autores: Jaroslaw Buczynski
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 15, Nº 4, 2008, págs. 623-629
• Idioma: inglés
• DOI: 10.4310/mrl.2008.v15.n4.a2
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• Resumen

  • We prove that a general hyperplane section of a smooth Legendrian subvariety in a projective space admits Legendrian embedding into another projective space. This gives numerous new examples of smooth Legendrian subvarieties, some of which have positive Kodaira dimension.