On a notion of toric special linear systems

Research output: Contribution to journalArticle

Abstract

In this note, we study linear systems on complete toric varieties X with an invariant point whose orbit under the action of Aut(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.

Original languageEnglish (US)
Pages (from-to)3225-3237
Number of pages13
JournalJournal of Pure and Applied Algebra
Volume223
Issue number8
DOIs
StatePublished - Aug 2019
Externally publishedYes

All Science Journal Classification (ASJC) codes

  • Algebra and Number Theory

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