Jarosław Buczyński
Abstract
Abstract We construct a family of examples of Legendrian subvarieties in some projective spaces. Although most of them are singular, a new example of smooth Legendrian varieties in dimension 8 is in this family. This 8-fold has interesting properties: it is a compactification of the special linear group, a Fano manifold of index 5 and Picard number 1.
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Abstract We construct a family of examples of Legendrian subvarieties in some projective spaces. Although most of them are singular, a new example of smooth Legendrian varieties in dimension 8 is in this family. This 8-fold has interesting properties: it is a compactification of the special linear group, a Fano manifold of index 5 and Picard number 1.
Key concepts: Mathematics, Fano plane, Compactification (mathematics), Pure mathematics, Dimension (graph theory), Manifold (fluid mechanics), Mathematical analysis, Mechanical engineering