Principal gradient schemes have regular reduced closed subschemes
We prove that principal gradient schemes have regular reduced subschemes. We also obtain a regularity criterion for reduced quotient rings.
math.AG↗
arXiv subjects
Joshua P. Mullet
Publications and source records attributed to Joshua P. Mullet.
On toric Calabi-Yau hypersurfaces fibered by weighted K3 hypersurfaces
In response to a question of Reid, we find all anti-canonical Calabi-Yau hypersurfaces $X$ in toric weighted projective bundles over the projective line where the general fiber is a weighted K3 hypersurface. This gives a direct generalization of Reid's discovery of the 95 families of weighted K3 hypersurfaces. We also treat the case where $X$ is fibered over the plane with general fiber a genus one curve in a weighted projective plane.
math.AG↗