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On forms, cohomology and BV Laplacians in odd symplectic geometry

) 8. Cacciatori , S.L. , Noja , S. : Projective superspaces in practice . J. Geom. Phys . 130 , 40 - 62 ( 2018 ) 9. Cacciatori , S. , Noja , S. , Re , R.: Non projected Calabi-Yau supermanifolds over P2

One-dimensional super Calabi-Yau manifolds and their mirrors

We apply a definition of generalised super Calabi-Yau variety (SCY) to supermanifolds of complex dimension one. One of our results is that there are two SCY’s having reduced manifold equal to \( {\mathrm{\mathbb{P}}}^1 \), namely the projective super space \( {\mathrm{\mathbb{P}}}^{\left.1\right|2} \) and the weighted projective super space \( \mathbb{W}{\mathrm{\mathbb{P}}}_{(2...