Generic splitting-type conjecture for logarithmic bundles of line arrangements
Generic splitting-type conjecture for logarithmic bundles of line arrangements
Let and be line arrangements with isomorphic intersection lattices
Let and be the associated rank vector bundles on . For a generic line , the restriction of each bundle splits as a direct sum of two line bundles; this pair is its generic splitting type. Generic splitting-type conjecture. The bundles and have the same generic splitting type. Over , the source presents this as an equivalent geometric form of the stronger Terao conjecture. The supplied excerpt does not establish a resolution.
Sources & referencesView supporting material
Primary source
Takuro Abe, Alexandru Dimca and Gabriel Sticlaru, “Addition-deletion results for the minimal degree of logarithmic derivations of arrangements”, arXiv:1908.06885 (2019).
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