Abstract

JARDIM, Marcos  and  SANTIAGO, Danilo. Codimension 1 distributions on three dimensional hypersurfaces. Rev. Mat [online]. 2023, vol.30, n.1, pp.25-69. ISSN 1409-2433.  http://dx.doi.org/10.15517/rmta.v30i1.50518.

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.

Keywords : holomorphic distributions; stable sheaves; moduli spaces; isolated singularities..

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