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arxiv: 1506.05281 · v2 · pith:TBPGGZ7Onew · submitted 2015-06-17 · 🧮 math.AG

Excess dimension for secant loci in symmetric products of curves

classification 🧮 math.AG
keywords locisecantcurvesdimensionproductssymmetricbiggercompare
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We extend a result of W. Fulton, J. Harris and R. Lazarsfeld to secant loci in symmetric products of curves. We compare three secant loci and prove the the dimensions of bigger loci can not be excessively larger than the dimension of smaller loci.

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