832 citations
- Max Planck Institute for MathematicsDE454 papers
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12 papers · 2 filters
Likelihood Equations and Scattering Amplitudes
Bernd Sturmfels, Simon Telen
We relate scattering amplitudes in particle physics to maximum likelihood estimation for discrete models in algebraic statistics. The scattering potential plays the role of the log…
The set of forms with bounded strength is not closed
Edoardo Ballico, Arthur Bik, Alessandro Oneto +1
The strength of a homogeneous polynomial (or form) is the smallest length of an additive decomposition expressing it whose summands are reducible forms. Using polynomial functors,…
Tangent Quadrics in Real 3-Space
Taylor Brysiewicz, Claudia Fevola, Bernd Sturmfels
We examine quadratic surfaces in 3-space that are tangent to nine given figures. These figures can be points, lines, planes or quadrics. The numbers of tangent quadrics were determ…
Generalized Deligne-Hitchin Twistor Spaces: Construction and Properties
Zhi Hu, Pengfei Huang, Runhong Zong
In this paper, we generalize the construction of Deligne-Hitchin twistor space by gluing two certain Hodge moduli spaces. We investigate such generalized Deligne-Hitchin twistor sp…
Pencils of Quadrics: Old and New
Claudia Fevola, Yelena Mandelshtam, Bernd Sturmfels
Two-dimensional linear spaces of symmetric matrices are classified by Segre symbols. After reviewing known facts from linear algebra and projective geometry, we address new questio…
Pencils on surfaces with normal crossings and the Kodaira dimension of
Daniele Agostini, Ignacio Barros
We study smoothing of pencils of curves on surfaces with normal crossings. As a consequence we show that the canonical divisor of is not pseudo-effec…