We study the relationship between geometric properties of toric varieties and combinatorial properties of the corresponding lattice polytopes. In particular, we give a bound for a very ample lattice polytope to be k-normal. Equivalently, we give a new combinatorial bound for the Castelnuovo-Mumford regularity of normal projective toric varieties. We also give a new combinatorial proof for a special case of Reider's Theorem for smooth toric surfaces.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:756950 |
| Date | January 2018 |
| Creators | Le Tran, Bach |
| Contributors | Hering, Milena ; Maciocia, Antony |
| Publisher | University of Edinburgh |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/1842/31531 |
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