3 papers
math.AG2026
Categorical resolutions and birational geometry of nodal Gushel-Mukai varieties
Kacper Grzelakowski, Marco Rampazzo, Shizhuo Zhang
An ordinary Gushel-Mukai variety with a single isolated node is the intersection of the Grassmannian with a nodal quadric and a linear space. We consider such intersectio…
math.AG2025
Derived equivalence for the simple flop of type
Marco Rampazzo, Ying Xie
We prove that every simple flop of type , i.e., resolved by blowups with exceptional divisor isomorphic to a generalized Grassmann bundle with fiber , induces a der…
math.AG2025
Window categories for a simple -fold flop of Grassmannian type
Will Donovan, Wahei Hara, MichaÅ Kapustka +1
The local simple -fold flop of Grassmannian type is a birational transformation between total spaces of vector bundles on the Grassmannians and $\mathrm{Gr}(…