Mathematics > Algebraic Geometry
[Submitted on 30 Jan 2022 (v1), last revised 2 May 2022 (this version, v2)]
Title:Existence of Ulrich Bundle on general Surfaces
View PDFAbstract:Let $X$ be a smooth projective algebraic surface of Picard rank one with very ample canonical bundle $K_X$. We further assume that $q -1 \le \chi(\mathcal{O}_X$.
In this article, we will study the existence of the Ulrich bundle and its stability property of it with respect to $K_X$.
Submission history
From: Sarbeswar Pal [view email][v1] Sun, 30 Jan 2022 05:47:36 UTC (11 KB)
[v2] Mon, 2 May 2022 04:12:02 UTC (13 KB)
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