Mathematical Research Letters

Volume 24 (2017)

Number 5

Quasihomogeneous free divisors with only normal crossings in codimension one

Pages: 1477 – 1496



Xia Liao (KIAS, Seoul, South Korea)

Mathias Schulze (Department of Mathematics, University of Kaiserslautern, Germany)


We prove that any divisor as in the title must be normal crossing.


free divisor, logarithmic derivation, normal crossing, quasihomogeneity, Lie algebra

2010 Mathematics Subject Classification

Primary 32S25. Secondary 16W25.

The research leading to these results has received funding from the People Programme (Marie Curie Actions) of the European Union’s Seventh Framework Programme (FP7/2007-2013) under REA grant agreement no PCIG12-GA-2012-334355.

Received 23 April 2014

Accepted 19 January 2017

Published 29 December 2017