caa a22 4500 605462135 CHVBK 20210128100246.0 cr unu---uuuuu 210128e20150201xx s 000 0 eng 10.1007/s10114-015-3450-2 doi (NATIONALLICENCE)springer-10.1007/s10114-015-3450-2 Zhou Ming School of Science, Hangzhou Dianzi University, 310018, Hangzhou, P. R. China aut The SL( V )-ample cone of product of flag varieties [Elektronische Daten] [Ming Zhou] Let k be an algebraically closed field, and V be a vector space of dimension n over k. For a set ω = ( $\vec d$ (1), ..., $\vec d$ (m)) of sequences of positive integers, denote by L ω the ample line bundle corresponding to the polarization on the product X = Π i=1 m Flag(V, $\vec n$ (i)) of flag varieties of type $\vec n$ (i) determined by ω. We study the SL(V)-linearization of the diagonal action of SL(V) on X with respect to L ω. We give a sufficient and necessary condition on ω such that X ss (L ω) ≠ $\not 0$ (resp., X s (L ω) ≠ $\not 0$ ). As a consequence, we characterize the SL(V)-ample cone (for the diagonal action of SL(V) on X), which turns out to be a polyhedral convex cone. Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 Semistable nationallicence SL( V )-ample cone nationallicence Schubert cycle nationallicence Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/2(2015-02-01), 272-280 1439-8516 31:2<272 2015 31 10114 https://doi.org/10.1007/s10114-015-3450-2 text/html Onlinezugriff via DOI BK010053 XK010053 XK010000 Metadata rights reserved Springer special CC-BY-NC licence nationallicence 1 research-article jats NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE 856 40 https://doi.org/10.1007/s10114-015-3450-2 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Zhou Ming School of Science, Hangzhou Dianzi University, 310018, Hangzhou, P. R. China aut NATIONALLICENCE 773 0- Acta Mathematica Sinica, English Series Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society 31/2(2015-02-01), 272-280 1439-8516 31:2<272 2015 31 10114