Net logarithmic tangent sheaves of complete intersections
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866909586074632192 |
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| author | Huh, Sukmoon Jeong, Min-gyo |
| author_facet | Huh, Sukmoon Jeong, Min-gyo |
| contents | The main purpose of this paper is to define the {\it net logarithmic tangent sheaf}, as a generalization of the logarithmic tangent sheaf introduced by P.~Deligne, over the field of complex numbers, and prove some basic properties and give some applications. The generalization is valid for the pairs of the smooth complete intersection variety and its complete intersecting subvariety. As applications, we investigate the locus of net logarithmic tangent sheaves on a smooth cubic surface in the corresponding moduli space of semistable sheaves. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_14617 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Net logarithmic tangent sheaves of complete intersections Huh, Sukmoon Jeong, Min-gyo Algebraic Geometry 14F06, 14J60, 14C34, 14M10 The main purpose of this paper is to define the {\it net logarithmic tangent sheaf}, as a generalization of the logarithmic tangent sheaf introduced by P.~Deligne, over the field of complex numbers, and prove some basic properties and give some applications. The generalization is valid for the pairs of the smooth complete intersection variety and its complete intersecting subvariety. As applications, we investigate the locus of net logarithmic tangent sheaves on a smooth cubic surface in the corresponding moduli space of semistable sheaves. |
| title | Net logarithmic tangent sheaves of complete intersections |
| topic | Algebraic Geometry 14F06, 14J60, 14C34, 14M10 |
| url | https://arxiv.org/abs/2504.14617 |