Year: 2025
Type: preprint
Abstract: 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.
Source: arXiv (Cornell University)
Authors: Huh, Sukmoon, Jeong, Min-gyo
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W6979267334
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