Revista de Matemática: Teoría y Aplicaciones ISSN Impreso: 1409-2433 ISSN electrónico: 2215-3373

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Codimension 1 distributions on three dimensional hypersurfaces
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Keywords

Distribuciones holomorfas
Haces estables
Espacios de moduli
Singularidades aisladas
Holomorphic distributions
Stable sheaves
Moduli spaces
Isolated singularities

How to Cite

Jardim, M., & Santiago, D. (2023). Codimension 1 distributions on three dimensional hypersurfaces. Revista De Matemática: Teoría Y Aplicaciones, 30(1), 25–69. https://doi.org/10.15517/rmta.v30i1.50518

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.

https://doi.org/10.15517/rmta.v30i1.50518
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