• Corpus ID: 119117433

Jacobian rings for homogenous vector bundles and applications

@article{Huang2018JacobianRF,
title={Jacobian rings for homogenous vector bundles and applications},
author={An Huang and Bong H. Lian and Shing-Tung Yau and Chenglong Yu},
journal={arXiv: Algebraic Geometry},
year={2018}
}
• Published 25 January 2018
• Mathematics
• arXiv: Algebraic Geometry
In this note, we examine the Jacobian ring description of the Hodge structure of zero loci of vector bundle sections on a class of ambient varieties. We consider a set of cohomological vanishing conditions that imply such a description, and we verify these conditions for some new cases. We also observe that the method can be directly extended to log homogeneous varieties. We apply the Jacobian ring to study the null varieties of period integrals and their derivatives, generalizing a result in…
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