Mnev-Sturmfels universality for schemes

Abstract

We prove a scheme-theoretic version of Mnev-Sturmfels Universality, suitable to be used in the proof of Murphy's Law in Algebraic Geometry. Somewhat more precisely, we show that any singularity type of finite type over Z appears on some incidence scheme of points and lines, subject to some particular further constraints.

14 pages, 5 figures; revised thanks to suggestions of referees and other readers

References in corpus (1)

• Murphy's Law for Hilbert function strata in the Hilbert scheme of points

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