Instanton sheaves on projective schemes

2022/05/10 by Antonelli, Vincenzo, Casnati, Gianfranco · 2 citations
#14J45 #14J60 #Algebraic Geometry (math.AG) #FOS: Mathematics #Primary: 14F06. Secondary: 14D21

paper · doi:10.48550/arxiv.2205.04767

Abstract

A h-instanton sheaf on a closed subscheme X of some projective space endowed with an ample and globally generated line bundle O_X(h) is a coherent sheaf whose cohomology table has a certain prescribed shape. In this paper we deal with h-instanton sheaves relating them to Ulrich sheaves. Moreover, we study h-instanton sheaves on smooth curves and surfaces, cyclic n-folds, Fano 3-folds and scrolls over arbitrary smooth curves. We also deal with a family of monads associated to h-instanton bundles on varieties satisfying some mild extra technical conditions.

Cited by

• Rank 2 aCM and Ulrich bundles on Fano and Calabi--Yau double coverings of ℙ³
• ‘t Hooft bundles on the complete flag threefold and moduli spaces of instantons

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• Higher-rank instantons sheaves on Fano threefolds