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Title: On k-normality and regularity of normal projective toric varieties
Author: Le Tran, Bach
ISNI:       0000 0004 7429 7871
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2018
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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.
Supervisor: Hering, Milena ; Maciocia, Antony Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available
Keywords: lattice polytopes ; k-normal ; combinatorial bounds ; Castelnuovo-Mumford regularity ; Reider's Theorem