Ulrich line bundles on double planes

A. J. Parameswaran; Poornapushkala Narayanan

doi:10.1016/j.jalgebra.2021.05.005

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arXiv · 1911.10126

Ulrich line bundles on double planes

A. J. Parameswaran·Poornapushkala Narayanan

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Abstract

Consider a smooth complex surface $X$ which is a double cover of the projective plane $\mathbb{P}^2$ branched along a smooth curve of degree $2s$. In this article, we study the geometric conditions which are equivalent to the existence of Ulrich line bundles on $X$ with respect to this double covering. Also, for every $s\geq 1$, we describe the classes of such surfaces which admit Ulrich line bundles and give examples.

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BibTeX RIS

A. J. Parameswaran, Poornapushkala Narayanan. 2022-01-21. Ulrich line bundles on double planes. https://doi.org/10.1016/j.jalgebra.2021.05.005

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