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Linear Toric Fibrations

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Combinatorial Algebraic Geometry

Part of the book series: Lecture Notes in Mathematics ((LNMCIME,volume 2108))

Abstract

Polarized toric varieties which are birationally equivalent to projective toric bundles are associated to a class of polytopes called Cayley polytopes. Their geometry and combinatorics have a fruitful interplay leading to fundamental insight in both directions. These notes will illustrate geometrical phenomena, in algebraic geometry and neighboring fields, which are characterized by a Cayley structure. Examples are projective duality of toric varieties and polyhedral adjunction theory.

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Acknowledgements

The author was supported by a grant from the Swedish Research Council (VR). Special thanks to A. Lundman, B. Nill and B. Sturmfels for reading a preliminary version of the notes.

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  1. Department of Mathematics, Royal Institute of Technology (KTH), 10044, Stockholm, Sweden

    Sandra Di Rocco

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  1. Sandra Di Rocco
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Di Rocco, S. (2014). Linear Toric Fibrations. In: Combinatorial Algebraic Geometry. Lecture Notes in Mathematics(), vol 2108. Springer, Cham. https://doi.org/10.1007/978-3-319-04870-3_4

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