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- W1559338872 abstract "We study divisors in the blow-up of $mathbb{P}^n$ at points in general position that are non-special with respect to the notion of linear speciality introduced in [5]. We describe the cohomology groups of their strict transforms via the blow-up of the space along their linear base locus. We extend the result to non-effective divisors that sit in a small region outside the effective cone. As an application, we describe linear systems of divisors in $mathbb{P}^n$ blown-up at points in star configuration and their strict transforms via the blow-up of the linear base locus." @default.
- W1559338872 created "2016-06-24" @default.
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- W1559338872 date "2017-05-01" @default.
- W1559338872 modified "2023-09-29" @default.
- W1559338872 title "Vanishing theorems for linearly obstructed divisors" @default.
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- W1559338872 doi "https://doi.org/10.1016/j.jalgebra.2017.01.006" @default.
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