Simplicity and exceptionality of syzygy bundles over Pⁿ

2013/06/26 by Marchesi, Simone, Prata, Daniela Moura
#14F05 #16E05 #Algebraic Geometry (math.AG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1306.6312

Abstract

In this work we will prove results that ensure the simplicity and the exceptionality of vector bundles which are defined by the splitting of pure resolutions. We will call such objects syzygy bundles.

Related

• Pure resolutions of vector bundles on complex projective spaces
• Syzygies using vector bundles
• Looking out for stable syzygy bundles
• On Stability of Syzygy Bundles
• Syzygy Theoretic Approach to Horrocks-type Criteria for Vector Bundles