|
On embeddings of universal torsors over del Pezzo surfaces in cones over flag varieties
V. S. Zhgoonab a Scientific Research Institute for System Studies of RAS
b Laboratoire J.-V. Poncelet, Independent University of Moscow
Abstract:
Following Skorobogatov and Serganova, we construct embeddings of universal
torsors over del Pezzo surfaces in cones over flag varieties regarded
as closed orbits in the projectivizations of quasi-miniscule
representations. Our approach enables us to construct embeddings
of universal torsors over del Pezzo surfaces of degree 1. This approach
uses the notion of Mumford stability and differs slightly from that
of the authors named above.
Keywords:
miniscule representation, del Pezzo surface, universal torsor, Mumford quotient.
Received: 25.04.2008 Revised: 05.02.2010
Citation:
V. S. Zhgoon, “On embeddings of universal torsors over del Pezzo surfaces in cones over flag varieties”, Izv. RAN. Ser. Mat., 74:5 (2010), 3–44; Izv. Math., 74:5 (2010), 883–923
Linking options:
https://www.mathnet.ru/eng/im2795https://doi.org/10.1070/IM2010v074n05ABEH002511 https://www.mathnet.ru/eng/im/v74/i5/p3
|
Statistics & downloads: |
Abstract page: | 429 | Russian version PDF: | 172 | English version PDF: | 3 | References: | 37 | First page: | 8 |
|