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Please use this identifier to cite or link to this item: https://dspace.lboro.ac.uk/2134/25235

Title: On a notion of speciality of linear systems in Pn
Authors: Brambilla, Maria Chiara
Dumitrescu, Olivia
Postinghel, Elisa
Issue Date: 2015
Publisher: © American Mathematical Society
Citation: BRAMBILLA, M.C., DUMITRESCU, O. and POSTINGHEL, E., 2015. On a notion of speciality of linear systems in Pn. Transactions of the American Mathematical Society, 367(8), pp. 5447-5473.
Abstract: © 2014 American Mathematical Society.Given a linear system in P<sup>n</sup> with assigned multiple general points, we compute the cohomology groups of its strict transforms via the blow-up of its linear base locus. This leads us to give a new definition of expected dimension of a linear system, which takes into account the contribution of the linear base locus, and thus to introduce the notion of linear speciality. We investigate such a notion, giving sufficient conditions for a linear system to be linearly non-special for an arbitrary number of points and necessary conditions for a small number of points.
Description: First published in Transactions of the American Mathematical Society, in 367(8), 2014, published by the American Mathematical Society.
Version: Accepted for publication
DOI: 10.1090/S0002-9947-2014-06212-0
URI: https://dspace.lboro.ac.uk/2134/25235
Publisher Link: http://dx.doi.org/10.1090/S0002-9947-2014-06212-0
ISSN: 0002-9947
Appears in Collections:Published Articles (Maths)

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