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The Hodge conjecture for certain moduli varieties

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Abstract

For smooth projective varietiesX over ℂ, the Hodge Conjecture states that every rational Cohomology class of type (p, p) comes from an algebraic cycle. In this paper, we prove the Hodge conjecture for some moduli spaces of vector bundles on compact Riemann surfaces of genus 2 and 3.

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  1. School of Mathematics, SPIC Science Foundation, 92 G.N. Chetty Road, T. Nagar, 600017, Madras, India

    V. Balaji

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  1. V. Balaji
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Balaji, V. The Hodge conjecture for certain moduli varieties. Proc. Indian Acad. Sci. (Math. Sci.) 105, 371–380 (1995). https://doi.org/10.1007/BF02836872

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  • DOI: https://doi.org/10.1007/BF02836872

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