K-theory of Weighted Blowups
Veronica Arena, Alessio Cela, Alberto Landi, Michele Pernice
Abstract
We compute the K-theory of weighted blowups of smooth stacks satisfying the resolution property along smooth centers. As an application, we determine the K-theory of the stack of stable genus 1 curves with 2 marked points. Furthermore, we express the Lambda polynomial of the tangent complex of the blowup morphism in terms of the blowup data. Along the way, we generalize the Anderson-Payne construction of equivariant operational K-theory from torus actions to actions of smooth affine algebraic groups.
Create a lesson
Related papers
Relative cone of curves and extremal contractions of a successive blowup
Yuto Masamura
Bertini's theorem for F-rationality is false
Thomas Polstra, Austyn Simpson
Surfaces of general type with extremal cotangent dimension
Damian Brotbek, Bruno de Oliveira, Erwan Rousseau
Monodromic Perverse Sheaves on Shifted Contact Stacks
Efe İzbudak
On curves with one place at infinity
Abdallah Assi, Wael Mahboub
Pedal Curves of a Bicorn
Thierry Dana-Picard, Moshe Hanau, Shmuel Krichevsky