Non-toric examples of elliptic canonical bases I
Tatsuyuki Hikita
TL;DR
This paper explores properties of elliptic lifts of K-theoretic canonical bases in conical symplectic resolutions, providing explicit examples such as the Hilbert scheme of 2 points in the affine plane.
Contribution
It introduces new properties of elliptic lifts and constructs explicit examples, expanding understanding beyond toric cases.
Findings
Properties of elliptic lifts proposed
Explicit elliptic lifts for Hilbert scheme of 2 points
Advances in non-toric canonical bases
Abstract
We propose several properties of elliptic lifts of the -theoretic canonical bases for conical symplectic resolutions defined in our previous work. As an example, we construct elliptic lifts of canonical bases for the Hilbert scheme of 2-points in the affine plane.
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Taxonomy
TopicsGeometric and Algebraic Topology · Algebraic Geometry and Number Theory · Polynomial and algebraic computation