832 citations
- Max Planck Institute for MathematicsDE454 papers
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8 papers · 2 filters
Computing the nonfree locus of the moduli space of arrangements and Terao's freeness conjecture
Mohamed Barakat, Lukas Kühne
In this paper, we show how to compute using Fitting ideals the nonfree locus of the moduli space of arrangements of a rank simple matroid, i.e., the subset of all points of the…
Shafarevich-Tate groups of holomorphic Lagrangian fibrations
Anna Abasheva, Vasily Rogov
Consider a Lagrangian fibration on a hyperkähler manifold . There are two ways to construct a holomorphic family of deformations of over $\mathbb…
Intersection Bodies of Polytopes
Katalin Berlow, Marie-Charlotte Brandenburg, Chiara Meroni +1
We investigate the intersection body of a convex polytope using tools from combinatorics and real algebraic geometry. In particular, we show that the intersection body of a polytop…
Adjoints and Canonical Forms of Polypols
Kathlén Kohn, Ragni Piene, Kristian Ranestad +5
Polypols are natural generalizations of polytopes, with boundaries given by nonlinear algebraic hypersurfaces. We describe polypols in the plane and in 3-space that admit a unique…
Universality of high-strength tensors
Arthur Bik, Alessandro Danelon, Jan Draisma +1
A theorem due to Kazhdan and Ziegler implies that, by substituting linear forms for its variables, a homogeneous polynomial of sufficiently high strength specialises to any given p…
The geometry of polynomial representations
Arthur Bik, Jan Draisma, Rob H. Eggermont +1
We define a GL-variety to be a (typically infinite dimensional) algebraic variety equipped with an action of the infinite general linear group under which the coordinate ring forms…