Results 1 to 4 of about 4 (4)

Frobenius splitting of Schubert varieties of semi-infinite flag manifolds

Forum of Mathematics, Pi, 2021
We exhibit basic algebro-geometric results on the formal model of semi-infinite flag varieties and its Schubert varieties over an algebraically closed field ${\mathbb K}$ of characteristic $\neq 2$ from scratch.
Syu Kato
doaj   +1 more source

Grassmanniennes affines tordues sur les entiers

Forum of Mathematics, Sigma, 2023
We generalize the works of Pappas–Rapoport–Zhu on twisted affine Grassmannians to the wildly ramified case under mild assumptions. This rests on a construction of certain smooth affine $\mathbb {Z}[t]$ -groups with connected fibers of parahoric ...
João Lourenço
doaj   +1 more source

PRESENTATIONS OF AFFINE KAC–MOODY GROUPS

Forum of Mathematics, Sigma, 2018
How many generators and relations does $\text{SL}\,_{n}(\mathbb{F}_{q}[t,t^{-1}])$ need? In this paper we exhibit its explicit presentation with $9$ generators and $44$ relations. We investigate presentations of affine Kac–Moody groups over finite fields.
INNA CAPDEBOSCQ, KARINA KIRKINA, DMITRIY RUMYNIN   +2 more
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Smooth locus of twisted affine Schubert varieties and twisted affine Demazure modules

Forum of Mathematics, Sigma
Let ${\mathscr {G}} $ be a special parahoric group scheme of twisted type over the ring of formal power series over $\mathbb {C}$ , excluding the absolutely special case of $A^{(2)}_{2\ell }$ .
Marc Besson, Jiuzu Hong
doaj   +1 more source