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math.AG 2

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2026 2

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Quantum cohomology and birational geometry of Verra fourfolds

math.AG · 2026-05-28 · unverdicted · novelty 7.0

Verra fourfolds have a distinct small quantum cohomology ring implying they are never birational to very general cubic or Gushel-Mukai fourfolds, with primitive cohomology matching a K3 surface when birational.

Naive atoms of blowups: examples

math.AG · 2026-06-16 · unverdicted · novelty 6.0

Defines naive atomic decompositions and checks a naive version of Iritani's blowup formula in computable examples.

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  • Quantum cohomology and birational geometry of Verra fourfolds math.AG · 2026-05-28 · unverdicted · none · ref 4

    Verra fourfolds have a distinct small quantum cohomology ring implying they are never birational to very general cubic or Gushel-Mukai fourfolds, with primitive cohomology matching a K3 surface when birational.

  • Naive atoms of blowups: examples math.AG · 2026-06-16 · unverdicted · none · ref 6

    Defines naive atomic decompositions and checks a naive version of Iritani's blowup formula in computable examples.