Fujita's very ampleness conjecture for singular toric varieties

We present a self-contained combinatorial approach to Fujita's conjectures in the toric case. Our main new result is a generalization of Fujita's very ampleness conjecture for toric varieties with arbitrary singularities. In an appendix, we use similar methods to give a new proof of an analogous toric generalization of Fujita's freeness conjecture due to Fujino.Comment: 15 pages. v2: minor revisions, updated references, added appendix with proof of Fujino's Theorem. v3: minor changes, final version, to appear in Tohoku Math.