Xuhua He

activity

20032009

most cited

G

-stable pieces and partial flag varieties

9 citations · 21 across the 16 of their papers we have counts for

collaborators

Showing 2007Show all

4 papers · 1 filter

math.RT2007★ 2 cited

$G$ -stable pieces and Lusztig's dimension estimates

Xuhua He

We use $G$ -stable pieces to construct some equidimensional varieties and as a consequence, obtain Lusztig's dimension estimates \cite[section 4]{L2}. This is a generalization of \c…

math.RT2007★ 9 cited

$G$ -stable pieces and partial flag varieties

Xuhua He

We will use the combinatorics of the $G$ -stable pieces to describe the closure relation of the partition of partial flag varieties in \cite[section 4]{L3}.

math.RT2007

On the affineness of Deligne-Lusztig varieties

Xuhua He

We prove that the Deligne-Lusztig variety associated to minimal length elements in any $\d$-conjugacy class of the Weyl group is affine, which was conjectured by Orlik and Rapoport…

math.AG2007

Frobenius splitting and geometry of $G$ -Schubert varieties

Xuhua He, Jesper Funch Thomsen

Let $X$ be an equivariant embedding of a connected reductive group $G$ over an algebraically closed field $k$ of positive characteristic. Let $B$ denote a Borel subgroup of $G$ . A…

G-stable pieces and Lusztig's dimension estimates

G-stable pieces and partial flag varieties

On the affineness of Deligne-Lusztig varieties

Frobenius splitting and geometry of G-Schubert varieties

$G$ -stable pieces and Lusztig's dimension estimates

$G$ -stable pieces and partial flag varieties

Frobenius splitting and geometry of $G$ -Schubert varieties