On a notion of toric special linear systems

Joaquín Moraga

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arXiv · 1512.09264

On a notion of toric special linear systems

Joaquín Moraga

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Abstract

In this note we study linear systems on complete toric varieties $X$ with an invariant point, whose orbit under the action of the automorphism group of $X$ contains the dense torus $T$ of $X$. We give a characterization of such varieties in terms of its defining fan and introduce a new definition of expected dimension of linear systems which consider the contribution given by certain toric subvarieties. Finally, we study degenerations of linear systems on these toric varieties induced by toric degenerations.

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Joaquín Moraga. 2018-03-12. On a notion of toric special linear systems. https://arxiv.org/abs/1512.09264

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