Lucas Fresse

activity

20072026

most citedOn the singularity of the irreducible components of a Springer fiber in sl(n)

33 citations · 58 across the 18 of their papers we have counts for

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10 papers · 1 filter

math.AG2024

On isomorphisms of ind-varieties of generalized flags

Lucas Fresse, Ivan Penkov

Ind-varieties of generalized flags have been studied for two decades. However, a precise statement of when two such ind-varieties, one or both being possibly ind-varieties of isotr…

math.AG2019

Multiple flag ind-varieties with finitely many orbits

Lucas Fresse, Ivan Penkov

Let $G$ be one of the ind-groups $G L (\infty)$ , $O (\infty)$ , $S p (\infty)$ , and $P_{1}, \dots, P_{l}$ be an arbitrary set of $l$ splitting parabolic subgroups of $G$ . We determine all suc…

math.AG2017★ 1 cited

Orbit Duality in Ind-Varieties of Maximal Generalized Flags

Lucas Fresse, Ivan Penkov

We extend Matsuki duality to arbitrary ind-varieties of maximal generalized flags, in other words, to any homogeneous ind-variety $G / B$ for a classical ind-group…

math.AG2010

Doubly indexed flag variety and fixed point set of a partial flag variety

Lucas Fresse

We define a variety of doubly indexed flags, this is a smooth, projective variety, and we describe it as an iterated over Grassmannian varieties. On the other hand, we consider the…

math.AG2010

On the singularity of some special components of Springer fibers

Lucas Fresse

Let $u \in End (C^{n})$ be nilpotent. The variety of $u$ -stable complete flags is called the Springer fiber over $u$ . Its irreducible components are parameterized by a…

math.AG2009

Some characterizations of singular components of Springer fibers in the two-column case

Lucas Fresse, Anna Melnikov

Let $u$ be a nilpotent endomorphism of a finite dimensional $C$ -vector space. The set $F_{u}$ of $u$ -stable complete flags is a projective algebraic variety calle…