The $K$-theory of toric varieties
Guillermo Corti\~nas, Christian Haesemeyer, Mark E. Walker, Charles, Weibel
TL;DR
This paper discusses recent computational advances that enable the description of the $K$-theory of toric varieties using $K$-theory of fields and basic cohomological data, simplifying complex calculations.
Contribution
It introduces new computational methods for understanding the $K$-theory of toric varieties through simpler algebraic and cohomological tools.
Findings
$K$-theory of toric varieties can be computed using field $K$-theory and cohomology
New algorithms simplify $K$-theory calculations for toric varieties
Enhanced understanding of the algebraic structure of toric varieties' $K$-theory
Abstract
Recent advances in computational techniques for -theory allow us to describe the -theory of toric varieties in terms of the -theory of fields and simple cohomological data.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Commutative Algebra and Its Applications · Algebraic structures and combinatorial models