The SL( V )-ample cone of product of flag varieties
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| 008 | 210128e20150201xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10114-015-3450-2 |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10114-015-3450-2 | ||
| 100 | 1 | |a Zhou |D Ming |u School of Science, Hangzhou Dianzi University, 310018, Hangzhou, P. R. China |4 aut | |
| 245 | 1 | 4 | |a The SL( V )-ample cone of product of flag varieties |h [Elektronische Daten] |c [Ming Zhou] |
| 520 | 3 | |a 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. | |
| 540 | |a Institute of Mathematics, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, Chinese Mathematical Society and Springer-Verlag Berlin Heidelberg, 2015 | ||
| 690 | 7 | |a Semistable |2 nationallicence | |
| 690 | 7 | |a SL( V )-ample cone |2 nationallicence | |
| 690 | 7 | |a Schubert cycle |2 nationallicence | |
| 773 | 0 | |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 272-280 |x 1439-8516 |q 31:2<272 |1 2015 |2 31 |o 10114 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10114-015-3450-2 |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10114-015-3450-2 |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 100 |E 1- |a Zhou |D Ming |u School of Science, Hangzhou Dianzi University, 310018, Hangzhou, P. R. China |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Acta Mathematica Sinica, English Series |d Institute of Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society |g 31/2(2015-02-01), 272-280 |x 1439-8516 |q 31:2<272 |1 2015 |2 31 |o 10114 | ||