CODIMENSION 1 DISTRIBUTIONS ON THREE DIMENSIONAL HYPERSURFACES
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| Format: | Artículo científico |
| Sprache: | en |
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Universidad de Costa Rica
2023
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| _version_ | 1876422530917466112 |
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| author | MARCOS JARDIM |
| author_facet | MARCOS JARDIM |
| contents | CODIMENSION 1 DISTRIBUTIONS ON THREE DIMENSIONAL HYPERSURFACES MARCOS JARDIM DANILO SANTIAGO Física, Astronomía y Matemáticas moduli spaces moduli spaces moduli spaces stable sheaves stable sheaves We show that codimension 1 distributions with at most isolated singularities on threefold hypersurfaces X ⊂ P⁴ of degree d provide interesting examples of stable rank 2 reflexive sheaves. When ≤ 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 X. 2023 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45379182002 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.1 Vol.30 |
| format | Artículo científico |
| id | redalyc_45379182002 |
| institution | Redalyc |
| language | en |
| publishDate | 2023 |
| publisher | Universidad de Costa Rica |
| spellingShingle | CODIMENSION 1 DISTRIBUTIONS ON THREE DIMENSIONAL HYPERSURFACES MARCOS JARDIM Física, Astronomía y Matemáticas moduli spaces moduli spaces moduli spaces stable sheaves stable sheaves CODIMENSION 1 DISTRIBUTIONS ON THREE DIMENSIONAL HYPERSURFACES MARCOS JARDIM DANILO SANTIAGO Física, Astronomía y Matemáticas moduli spaces moduli spaces moduli spaces stable sheaves stable sheaves We show that codimension 1 distributions with at most isolated singularities on threefold hypersurfaces X ⊂ P⁴ of degree d provide interesting examples of stable rank 2 reflexive sheaves. When ≤ 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 X. 2023 artículo científico 1409-2433 https://www.redalyc.org/articulo.oa?id=45379182002 en http://www.redalyc.org/revista.oa?id=453 Revista de Matemática: Teoría y Aplicaciones application/pdf Universidad de Costa Rica Revista de Matemática: Teoría y Aplicaciones (Costa Rica) Num.1 Vol.30 |
| title | CODIMENSION 1 DISTRIBUTIONS ON THREE DIMENSIONAL HYPERSURFACES |
| topic | Física, Astronomía y Matemáticas moduli spaces moduli spaces moduli spaces stable sheaves stable sheaves |
| url | https://www.redalyc.org/articulo.oa?id=45379182002 |