Nonabelian Jacobian of Projective Surfaces by Igor Reider

Author:Igor Reider
Language: eng
Format: epub
Publisher: Springer Berlin Heidelberg, Berlin, Heidelberg

(6.28)

Setting , for , gives the decomposition

(6.29)

This decomposition will be called the (shifted) weight decomposition of .

The sheaf continues to have the orthogonal decomposition

(6.30)

and the sections have respectively degrees ± 1, 0, relative to this decomposition.

Define the sheaves H p, q as follows:

(6.31)

Then the sheaf version of Lemma 6.1 takes the form

(6.32)

for every . This implies the sheaf version of the bigraded decomposition in (6.11):

(6.33)

Download

Copyright Disclaimer:
This site does not store any files on its server. We only index and link to content provided by other sites. Please contact the content providers to delete copyright contents if any and email us, we'll remove relevant links or contents immediately.