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A remark on global sections of secant bundles of curves

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Abstract

We compute global sections of tensor products and symmetric products of several secant bundles of a nonsingular projective curve. We closely follow the approach of Gentiana Danila’s work on the similar problem for nonsingular projective surfaces.

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References

  1. Danila, G.: Sections de la puissance tensorielle du fibré tautologique sur le schéma de Hilbert des points d’une surface. Bull. Lond. Math. Soc. 39(2), 311–316 (2004)

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  2. Ein, L., Niu, W., Park, J.: Singularities and syzygies of secant varieties of nonsingular projective curves. Invent. Math. 222(2), 615–665 (2020)

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Authors and Affiliations

  1. Department of Mathematics, University Illinois at Chicago, 851 South Morgan St., Chicago, IL, 60607, USA

    Lawrence Ein

  2. Department of Mathematical Sciences, University of Arkansas, Fayetteville, AR, 72701, USA

    Wenbo Niu

  3. Department of Mathematics, Sogang University, 35 Beakbeom-ro, Mapo-gu, Seoul, 04107, Republic of Korea

    Jinhyung Park

Authors
  1. Lawrence Ein
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  2. Wenbo Niu
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  3. Jinhyung Park
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Corresponding author

Correspondence to Wenbo Niu.

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Dedicated to Professor Fabrizio Catanese on the occasion of his 70th birthday.

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Ein, L., Niu, W. & Park, J. A remark on global sections of secant bundles of curves. Boll Unione Mat Ital 15, 163–171 (2022). https://doi.org/10.1007/s40574-021-00282-9

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  • DOI: https://doi.org/10.1007/s40574-021-00282-9

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