The class of the affine line is a zero divisor in the Grothendieck ring: via G₂-Grassmannians
classification
🧮 math.AG
keywords
grassmanniansgrothendieckpairringaffinecalabi-yaucdotclass
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Motivated by [Bor] and [Mar], we show the equality $\left([X] - [Y]\right) \cdot [\mathbb{A}^1] = 0$ in the Grothendieck ring of varieties, where $(X, Y)$ is a pair of Calabi-Yau 3-folds cut out from the pair of Grassmannians of type $G_2$.
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