On simplicial toric varieties of codimension 2
Margherita Barile

TL;DR
This paper characterizes certain codimension 2 toric varieties, identifying those minimally defined by three binomials or set-theoretic complete intersections in specific characteristics, revealing their algebraic and geometric properties.
Contribution
It provides a classification of codimension 2 toric varieties based on their defining equations and set-theoretic properties across different characteristics.
Findings
Identifies classes of toric varieties minimally defined by three binomials.
Determines conditions under which these varieties are set-theoretic complete intersections.
Highlights characteristic-dependent properties of these varieties.
Abstract
We describe classes of toric varieties of codimension 2 which are either minimally defined by 3 binomial equations over any algebraically closed field, or are set-theoretic complete intersections in exactly one positive characteristic.
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Taxonomy
TopicsCommutative Algebra and Its Applications · Polynomial and algebraic computation · Algebraic Geometry and Number Theory
