3 papers
math.AT2026
Regular bundles on orbifolds II: ranks and obstructions
Enrique Becerra, Ernesto Lupercio
A regular complex bundle on an orbispace has fibres that are positive multiples of the stabilizers' regular representations. For stabilizers of order at most two, the sharp uniform…
math.AT2026
Regular Bundles on Orbifolds: A Short Proof of Presentability
Enrique Becerra, Ernesto Lupercio
Let $\X$ be a Hausdorff second-countable smooth orbifold without boundary, possibly noncompact and ineffective. Suppose $\dim\X\leq n$ and for integers and $…
math.AG2024
Revisiting the Classical McKay Correspondence, Derived Equivalences and the Spectrum of Kleinian Surface Singularities: A Look Through the Mirror
Enrique Becerra, Ludmil Katzarkov, Ernesto Lupercio
In this article, we revisit the classical McKay correspondence via homological mirror symmetry. Specifically, we demonstrate how this correspondence can be articulated as a derived…