Existence of Ulrich Bundle on general Surfaces

2022/01/30 by Suratno Basu, Basu, Suratno, Sarbeswar Pal +1
Arts and Humanities · Mathematics · #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #FOS: Mathematics #Historical Studies and Socio-cultural Analysis #Meromorphic and Entire Functions

paper · pdf · doi:10.48550/arxiv.2201.12734

openalex publication_date 2022/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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 ≤ χ(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.

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