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• W3096702031 abstract "Abstract The aim of this paper is to make a connection between design theory and algebraic geometry/commutative algebra. In particular, given any Steiner System S ( t , n , v ) we associate two ideals, in a suitable polynomial ring, defining a Steiner configuration of points and its Complement. We focus on the latter, studying its homological invariants, such as Hilbert Function and Betti numbers. We also study symbolic and regular powers associated to the ideal defining a Complement of a Steiner configuration of points, finding its Waldschmidt constant, regularity, bounds on its resurgence and asymptotic resurgence. We also compute the parameters of linear codes associated to any Steiner configuration of points and its Complement." @default.
• W3096702031 created "2020-11-09" @default.
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• W3096702031 date "2020-10-31" @default.
• W3096702031 modified "2023-09-25" @default.
• W3096702031 title "Steiner systems and configurations of points" @default.
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• W3096702031 doi "https://doi.org/10.1007/s10623-020-00815-x" @default.
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