Codimension 1 distributions on three dimensional hypersurfaces
Abstract We show that codimension 1 distributions with at most isolated singularities on threefold hypersurfaces Xd ⊂ P4 of degree d provide interesting examples of stable rank 2 reflexive sheaves. When d ≤ 5, these sheaves can be regarded as smooth points within an irreducible component of the moduli space of stable reflexive sheaves. Our second goal goes in the reverse direction: we start from a well-known family of stable locally free sheaves and provide examples of codimension 1 distributions of local complete intersection type on Xd.
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| Main Authors: | , |
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| Format: | Digital revista |
| Language: | English |
| Published: |
Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica.
2023
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| Online Access: | http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332023000100025 |
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