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Pushforwards of Chow groups of smooth ample divisors, with an emphasis on Jacobian varieties

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  • Kalyan Banerjee
  • Jaya N. N. Iyer
  • James D. Lewis

Abstract

With a homological Lefschetz conjecture in mind, we prove the injectivity of the pushforward morphism on low‐dimensional rational Chow groups, induced by the closed embedding of an ample divisor, namely, the Theta divisor inside the Jacobian variety J(C)$J(C)$. Here, C is a smooth irreducible complex projective curve.

Suggested Citation

  • Kalyan Banerjee & Jaya N. N. Iyer & James D. Lewis, 2022. "Pushforwards of Chow groups of smooth ample divisors, with an emphasis on Jacobian varieties," Mathematische Nachrichten, Wiley Blackwell, vol. 295(12), pages 2301-2317, December.
    • Handle: RePEc:bla:mathna:v:295:y:2022:i:12:p:2301-2317
    DOI: 10.1002/mana.202000125
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