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20112024
most citedDegenerate flag varieties and Schubert varieties: a characteristic free approach

8 citations · 29 across the 24 of their papers we have counts for

collaborators

30 papers

math.AG2024

Equivariant geometry of symmetric quiver orbit closures

Ryan Kinser, Martina Lanini, Jenna Rajchgot

We unify problems about the equivariant geometry of symmetric quiver representation varieties, in the finite type setting, with the corresponding problems for symmetric varieties $…

math.RT2024

Symplectic Grassmannians and Cyclic Quivers

Evgeny Feigin, Martina Lanini, Matteo Micheli +1

The goal of this paper is to extend the quiver Grassmannian description of certain degenerations of Grassmann varieties to the symplectic case. We introduce a symplectic version of…

math.NA2023

The algebra of splines: duality, group actions and homology

Martina Lanini, Hal Schenck, Julianna Tymoczko

This survey gives an overview of three central algebraic themes related to the study of splines: duality, group actions, and homology. Splines are piecewise polynomial functions of…

math.RT2023

Wall And Chamber Structure For A Special Biserial Algebra Coming From Perverse Sheaves on

Alessio Cipriani, Martina Lanini

We describe the wall and chamber structure of a special biserial algebra whose module category is equivalent to the category of (middle) perverse sheaves on the complex projective…

math.AG2023

Laumon parahoric local models via quiver Grassmannians

Evgeny Feigin, Martina Lanini, Alexander Pütz

Local models of Shimura varieties in type A can be realized inside products of Grassmannians via certain linear algebraic conditions. Laumon suggested a generalization which can be…

math.AG2023

Structure algebras, Hopf algebroids and oriented cohomology of a group

Martina Lanini, Rui Xiong, Kirill Zainoulline

We prove that the structure algebra of a Bruhat moment graph of a finite real root system is a Hopf algebroid with respect to the Hecke and the Weyl actions. We introduce new techn…