Toric Schemes over a Discrete Valuation Ring and Tropical Compactifications
by Qu, Zhenhua, Ph.D., THE UNIVERSITY OF TEXAS AT AUSTIN, 2009, 106 pages; 3438724

Abstract:

Let Y be a subvariety of an algebraic torus, Tevelv [24] defined and studied tropical compactifications as certain nice compactifications of Y. We give a criterion for certain compactification to be a schön compactification, and as a corollary, we show that any variety contains an open very affine schön variety. Using toric schemes defined over a discrete valuation ring, we generalize the theory of tropical compactification to the nonconstant coefficient case, i.e. for varieties defined over a discrete valuation ring.

 
AdviserSean Keel
SchoolTHE UNIVERSITY OF TEXAS AT AUSTIN
SourceDAI/B 72-03, p. , Feb 2011
Source TypeDissertation
SubjectsMathematics
Publication Number3438724
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