منابع مشابه
Higher Rank Brill–noether Theory on Sections of K3 Surfaces
We discuss the role of K3 surfaces in the context of Mercat’s conjecture in higher rank Brill–Noether theory. Using liftings of Koszul classes, we show that Mercat’s conjecture in rank 2 fails for any number of sections and for any gonality stratum along a Noether– Lefschetz divisor inside the locus of curves lying on K3 surfaces. Then we show that Mercat’s conjecture in rank 3 fails even for c...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 1989
ISSN: 0022-040X
DOI: 10.4310/jdg/1214442632