Herwig Hauser

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Homepage: http://www.hh.hauser.cc

Fields of interest:
The main topics of my research are: Algebraic geometry, in particular the singularities of algebraic varieties and their resolution in zero and prime characteristic; Complex analytic geometry; Comparison of algebraic and analytic structures; Artin approximation, arc spaces and infinite dimensional geometry; Division and recursion theorems for power series.

Selected publications

• Arcs, Cords and Felts: Six Instances of the Linearization Principle (with C. Bruschek), Amer. J. Math. 132 (2010), 941-986. [PDF]
• On the Problem of Resolution of Singularities in Positive Characteristic (Or: A proof we are still waiting for), Bull. Amer. Math. Soc. 47 (2010), 1-30. [PDF]
• Plain Varieties (with G. Bodnar, J. Schicho, O. Villamayor), Bull. London Math. Soc. 40 (2008), 965-971. [PDF]
• Three power series techniques, Proc. London Math. Soc. 88 (2004), 1--24.[PDF, PS]
• Strong resolution of singularities in characteristic zero (with S. Encinas), Commentarii Math. Helvetici 77(2002), 421-445. [PDF, PS]
• The reduced Bautin index of planar vector fields (with J.-J. Risler, B. Teissier), Duke J. Math. 100 (2000), 425-446. [PDF, PS]