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math.AGJun 1, 2023
authors
  • Adrien Dubouloz
  • Arnaud Mayeux
  • João Pedro dos Santos
institutions
  • Centre National de la Recherche Scientifique
  • Institut de Mathématiques de Bourgogne
  • Institut Montpelliérain Alexander Grothendieck
  • Laboratoire de Mathématiques Blaise Pascal
  • Université Clermont Auvergne
  • Université de Bourgogne
  • Université de Montpellier
arXiv abstractPDF
paper

A survey on algebraic dilatations

arXiv:2306.17003

Abstract

In this text, we wish to provide the reader with a short guide to recent works on the theory of dilatations in Commutative Algebra and Algebraic Geometry. These works fall naturally into two categories: one emphasises foundational and theoretical aspects and the other applications to existing theories.

References in corpus (6)

  • On exotic algebraic structures on affine spaces
  • Quelques remarques sur la notion de modification affine
  • On the structure of affine flat group schemes over discrete valuation rings
  • Comparison of Bushnell-Kutzko and Yu's constructions of supercuspidal representations
  • Comparing Bushnell-Kutzko and Sécherre's constructions of types for GLN​ and its inner forms with Yu's construction
  • Dilatations of categories
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