birational geometry 1hyperplane arrangements 1log canonical models 1moduli spaces 1positive geometry 1
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math.AG2026
Log Canonical Models and Positive Geometries
Benjamin Hollering, Dmitrii Pavlov, Elizabeth Pratt
The paper shows that for many varieties, explicit coordinates for their log canonical models can be obtained from canonical forms of positive geometries, and uses this to compute e…
math.AG2026
Landau Analysis in the Grassmannian
Benjamin Hollering, Elia Mazzucchelli, Matteo Parisi +1
Momentum twistors for scattering amplitudes in particle physics are lines in three-space. We develop Landau analysis for Feynman integrals in this setting. The resulting discrimina…
math.AG2025
Parke-Taylor varieties
Benjamin Hollering, Dmitrii Pavlov
Parke-Taylor functions are certain rational functions on the Grassmannian of lines encoding MHV amplitudes in particle physics. For particles there are Parke-Taylor functi…