2014/03/26 by Herwig Hauser, Hauser, Herwig, Dominique Wagner +1
Mathematics · #Algebraic Geometry (math.AG) #Commutative Algebra (math.AC) #FOS: Mathematics #math.AC #math.AG
paper · pdf · doi:10.48550/arxiv.1403.6789
34 pages, to appear in L'Enseignement Mathematique
arxiv created 2014/03/26 · arxiv updated 2014/03/27
The article investigates the behaviour of the characteristic zero resolution invariant when transcribed suitably to the case of surfaces in positive characteristic. By Moh's jumping phenomenon -- or the occurrence of kangaroo singularities -- one knows that the invariant may increase, thus destroying any induction. We describe in the paper how one can modify in the purely inseparable surface case the invariant by adding a subtle correction term so as to prohibit its occasional increases and to establish the induction argument again.