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math.AG2026
Generalizing Green's Syzygy Theorems to Symmetric Products of Curves
Wenbo Niu, Peter Yi Wei
Let be a smooth projective curve of genus , and let denote the tautological line bundle on its -th symmetric product . We prove effective vanishing criteri…
math.AG2026
Some local and global properties of secant varieties of nonsingular projective curves
Lawrence Ein, Wenbo Niu, Jinhyung Park
The main goal of this paper is to study some local and global properties of secant varieties of algebraic curves. These results complement our previous work [8] by addressing issue…