2 citations · 2 across the 4 of their papers we have counts for
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Calabi-Yau complete intersections associated to good pairs of generalized nef partitions
Michela Artebani, Paola Comparin, Robin Guilbot
We introduce the notion of good pair of generalized nef partitions to describe Calabi-Yau complete intersections in Q-Fano toric varieties whose equations do not necessarily have m…
Quasismoooth hypersurfaces in toric varieties
Michela Artebani, Paola Comparin, Robin Guilbot
We provide a combinatorial characterization of monomial linear systems on toric varieties whose general member is quasismooth. This is given both in terms of the Newton polytope an…
Families of Calabi-Yau hypersurfaces in -Fano toric varieties
Michela Artebani, Paola Comparin, Robin Guilbot
We provide a sufficient condition for a general hypersurface in a -Fano toric variety to be a Calabi-Yau variety in terms of its Newton polytope. Moreover, we define a g…
Low degree hypersurfaces of projective toric varieties defined over a field have a rational point
Robin Guilbot
Quasi algebraically closed fields, or fields, are defined in terms of a low degree condition. Namely, the field is if every degree hypersurface of the projectiv…