Logarithmic affine structures, parallelizable d-webs and normal forms

Logarithmic Forms on Affine Arrangements

Normal Forms for Non-integrable Cr Structures

1 2 D. ZAITSEV

Normal Forms for Nonintegrable Almost Cr Structures

We propose two constructions extending the Chern-Moser normal form to non-integrable Levi-nondegenerate (hypersurface type) almost CR structures. One of them translates the ChernMoser normalization into pure intrinsic setting, whereas the other directly extends the (extrinsic) Chern-Moser normal form by allowing non-CR embeddings that are in some sense “maximally CR”. One of the main difference...

Catalan without Logarithmic Forms

This is an exposition of the recent work of Bugeaud, Hanrot and Mihăilescu showing that Catalan’s conjecture can be proved without using logarithmic forms and electronic computations. To Rob Tijdeman

Enumeration and Normal Forms for Singularities in Cauchy-Riemann Structures

Starting on the next page is the 16-page Chapter II excerpted from my dissertation, “Enumeration and Normal Forms for Singularities in CauchyRiemann Structures,” 1997, University of Chicago. I have made a few minor editorial modifications so that Chapter II can be read without referring to the other Chapters. Section 5 of Chapter II is a summary of results appearing in my unpublished lecture no...