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Four Lectures on Euler Integrals

Mathematical Physics 2023-11-01 v2 High Energy Physics - Theory Algebraic Geometry math.MP

Abstract

These lecture notes provide a self-contained introduction to Euler integrals, which are frequently encountered in applications. In particle physics, they arise as Feynman integrals or string amplitudes. Our four selected topics demonstrate the diverse mathematical techniques involved in the study of Euler integrals, including polyhedral geometry, very affine varieties, differential equations, and computational algebra.

Keywords

Cite

@article{arxiv.2306.13578,
  title  = {Four Lectures on Euler Integrals},
  author = {Saiei-Jaeyeong Matsubara-Heo and Sebastian Mizera and Simon Telen},
  journal= {arXiv preprint arXiv:2306.13578},
  year   = {2023}
}

Comments

48 pages, journal version