# Families of pointed toric varieties and degenerations

@inproceedings{Rocco2021FamiliesOP, title={Families of pointed toric varieties and degenerations}, author={Sandra Di Rocco and Luca Schaffler}, year={2021} }

The Losev–Manin moduli space parametrizes pointed chains of projective lines. In this paper we study a possible generalization to families of pointed degenerate toric varieties. Geometric properties of these families, such as flatness and reducedness of the fibers, are explored via a combinatorial characterization. We show that such families are described by a specific type of polytope fibration which generalizes the twisted Cayley sums, originally introduced to characterize elementary extremal…

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