Portal de Periódicos da CAPES

Logarithmic bundles and line arrangements, an approach via the standard construction

2014; Wiley; Volume: 90; Issue: 3 Linguagem: Inglês

10.1112/jlms/jdu046

1469-7750

Daniele Faenzi, Jean Vallès,

Polynomial and algebraic computation

We propose an approach to study logarithmic sheaves T P n ( - log D A ) associated with hyperplane arrangements A on the projective space P n , based on projective duality, direct image functors and vector bundles methods. We focus on free line arrangements admitting a point with high multiplicity, or having low exponents, proving Terao's conjecture in this range.