Jet spaces of varieties over differential and difference fields

• Anand Pillay ^[1] ; Martin Ziegler ^[2]
  1. [1] University of Illinois, USA
  2. [2] Universität Freiburg, Alemania
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 9, Nº. 4, 2003, págs. 579-599
• Idioma: inglés
• DOI: 10.1007/s00029-003-0339-1
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• Resumen

  • We prove some new structural results on finite-dimensional differential algebraic varieties and difference algebraic varieties in characteristic zero, using elementary methods involving jet spaces. Some partial results and problems are given in the positive characteristic cases. The impact of these methods and results on proofs of the Mordell-Lang conjecture for function fields will also be discussed.