Multiplier Ideals of General Line Arrangements in ℂ³

Abstract

We consider the multiplier ideals of the ideal of a reduced union of lines through the origin in ℂ³. For general arrangements of lines, we calculate the multiplier ideals.

Key Words:

• Line arrangements
• Multiplier ideals

Mathematics Subject Classification:

• 14B05

ACKNOWLEDGMENTS

I would like to thank my advisor, Rob Lazarsfeld, for suggesting this question to me and for his guidance throughout the preparation of my dissertation, of which this work is part. I would also like to thank Tommaso de Fernex and Jessica Sidman for helpful comments and suggestions.

Notes

Communicated by L. Ein.