Dice Question Streamline Icon: https://streamlinehq.com

Classification of G-actions on Y×P^N with prescribed quotient X×P^N

Classify all finite group actions on Y×P^N that act trivially on the P^N factor and whose orbifold quotient is isomorphic to X×P^N.

Information Square Streamline Icon: https://streamlinehq.com

Background

To understand stability under products, the authors pose a structural classification problem for group actions that yield a specified product orbifold quotient.

Such a classification would underpin invariance and comparison results for twisted measures and gerbes under stabilization.

References

Question Can one classify all the possible $G$-actions on $Y\times \bb PN$ that are trivial on the second factor and whose quotient is isomorphic as orbifold to $X\times \bb PN$?

— A Gromov-Witten approach to $G$-equivariant birational invariants (2405.07322 - Cavenaghi et al., 12 May 2024) in Section 6.4, “Stable G-rationality”