On a notion of toric special linear systems |
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Authors: | Joaquín Moraga |
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Institution: | Department of Mathematics, University of Utah, 155 S 1400 E, Salt Lake City, UT 84112, United States of America |
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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 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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Keywords: | Primary 14C20 secondary 14M25 |
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