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Splitting of the Pullback of Tℙ3 on an Elliptic Curve

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Abstract

We study the splitting of the pullback of the tangent bundle Tℙ3 on an elliptic curve under the morphism given by a line bundle of degree less or equal to 5.

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Acknowledgement

I would like to thank Prof. D. S. Nagaraj and Dr. Arijit Dey for their continuous guidance and encouragements throughout the work. I thank to Prof. Newstead for his comments on this work. I would also like to thank National Board for Higher Mathematics (NBHM), Government of India and International and Alumni Relations IIT Madras for financial support.

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  1. Department of Mathematics, Indian Institute of Technology-Madras, Chennai, India

    Amit Kumar Singh

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  1. Amit Kumar Singh
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Correspondence to Amit Kumar Singh.

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Singh, A.K. Splitting of the Pullback of Tℙ3 on an Elliptic Curve. Indian J Pure Appl Math 51, 869–878 (2020). https://doi.org/10.1007/s13226-020-0437-1

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  • DOI: https://doi.org/10.1007/s13226-020-0437-1

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