On a notion of speciality of linear systems in Pn
journal contributionposted on 2017-06-02, 12:33 authored by Maria Chiara Brambilla, Olivia Dumitrescu, Elisa Postinghel
© 2014 American Mathematical Society.Given a linear system in Pn 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.
- Mathematical Sciences
Published inTransactions of the American Mathematical Society
Pages5447 - 5473
CitationBRAMBILLA, 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.
Publisher© American Mathematical Society
- AM (Accepted Manuscript)
Publisher statementThis work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/
NotesFirst published in Transactions of the American Mathematical Society, in 367(8), 2014, published by the American Mathematical Society.