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The effective cone on symmetric powers of curves
by Mustopa, Yusuf Achmad, Ph.D., State University of New York at Stony Brook, 2008, 47; 3338163
Abstract (Summary)
The dth symmetric power Cd of a smooth complex projective curve (or compact Riemann surface) C is a parameter space for effective divisors of degree d on C, so that the theory of degree-d maps from C to projective space is encoded in the subvarieties of Cd and the relations amongst them. We give a complete description of the cone of codimension-1 subvarieties of Cg–1 when C is a general curve of genus g ≥ 4, as well as new bounds for the case Cd in the range ([special characters omitted], g – 2]. We also give new information on the movable cone of Cd and the volume function of Cg–1.
| Advisor: | |
| Commitee: | |
| School: | State University of New York at Stony Brook |
| School Location: | United States -- New York |
| Source: | DAI-B 69/12, Dissertation Abstracts International |
| Source Type: | DISSERTATION |
| Subjects: | Mathematics |
| Keywords: | Cone, Curves, Symmetric powers |
| Publication Number: | 3338163 |
| ISBN: | 9780549928096 |
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