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The Mercat Conjecture for stable rank 2 vector bundles on generic curves
- American Journal of Mathematics
- Johns Hopkins University Press
- Volume 140, Number 5, October 2018
- pp. 1277-1295
- 10.1353/ajm.2018.0031
- Article
- Additional Information
abstract:
We prove the Mercat Conjecture for rank $2$ vector bundles on generic curves of every genus. For odd genus, we identify the effective divisor in ${\cal M}_g$ where the Mercat Conjecture fails and compute its slope.