Abstract
We compute the behaviour of Hodge data under tensor product with a unitary rank-one local system and middle convolution with a Kummer unitary rank-one local system for an irreducible variation of polarized complex Hodge structure on a punctured complex affine line.
| Original language | English |
|---|---|
| Pages (from-to) | 761-800 |
| Number of pages | 40 |
| Journal | Publications of the Research Institute for Mathematical Sciences |
| Volume | 49 |
| Issue number | 4 |
| DOIs | |
| Publication status | Published - 1 Jan 2013 |
Keywords
- Hodge theory
- Katz algorithm
- Middle convolution
- Rigid local system
- ℓ-adic representation