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Article: On the conjecture of King for smooth toric Deligne-Mumford stacks
Title | On the conjecture of King for smooth toric Deligne-Mumford stacks |
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Authors | |
Keywords | Exceptional Collection Line Bundles Tilting Bundles Toric Stacks Zonotopes |
Issue Date | 2009 |
Publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/aim |
Citation | Advances In Mathematics, 2009, v. 221 n. 1, p. 277-301 How to Cite? |
Abstract | We construct full strong exceptional collections of line bundles on smooth toric Fano Deligne-Mumford stacks of Picard number at most two and of any Picard number in dimension two. It is hoped that the approach of this paper will eventually lead to the proof of the existence of such collections on all smooth toric nef-Fano Deligne-Mumford stacks. © 2008 Elsevier Inc. All rights reserved. |
Persistent Identifier | http://hdl.handle.net/10722/188347 |
ISSN | 2023 Impact Factor: 1.5 2023 SCImago Journal Rankings: 2.022 |
ISI Accession Number ID | |
References |
DC Field | Value | Language |
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dc.contributor.author | Borisov, L | en_US |
dc.contributor.author | Hua, Z | en_US |
dc.date.accessioned | 2013-09-03T04:03:11Z | - |
dc.date.available | 2013-09-03T04:03:11Z | - |
dc.date.issued | 2009 | en_US |
dc.identifier.citation | Advances In Mathematics, 2009, v. 221 n. 1, p. 277-301 | en_US |
dc.identifier.issn | 0001-8708 | en_US |
dc.identifier.uri | http://hdl.handle.net/10722/188347 | - |
dc.description.abstract | We construct full strong exceptional collections of line bundles on smooth toric Fano Deligne-Mumford stacks of Picard number at most two and of any Picard number in dimension two. It is hoped that the approach of this paper will eventually lead to the proof of the existence of such collections on all smooth toric nef-Fano Deligne-Mumford stacks. © 2008 Elsevier Inc. All rights reserved. | en_US |
dc.language | eng | en_US |
dc.publisher | Academic Press. The Journal's web site is located at http://www.elsevier.com/locate/aim | en_US |
dc.relation.ispartof | Advances in Mathematics | en_US |
dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
dc.subject | Exceptional Collection | en_US |
dc.subject | Line Bundles | en_US |
dc.subject | Tilting Bundles | en_US |
dc.subject | Toric Stacks | en_US |
dc.subject | Zonotopes | en_US |
dc.title | On the conjecture of King for smooth toric Deligne-Mumford stacks | en_US |
dc.type | Article | en_US |
dc.identifier.email | Hua, Z: huazheng@hku.hk | en_US |
dc.identifier.authority | Hua, Z=rp01790 | en_US |
dc.description.nature | postprint | en_US |
dc.identifier.doi | 10.1016/j.aim.2008.11.017 | en_US |
dc.identifier.scopus | eid_2-s2.0-62249147602 | en_US |
dc.identifier.hkuros | 235482 | - |
dc.relation.references | http://www.scopus.com/mlt/select.url?eid=2-s2.0-62249147602&selection=ref&src=s&origin=recordpage | en_US |
dc.identifier.volume | 221 | en_US |
dc.identifier.issue | 1 | en_US |
dc.identifier.spage | 277 | en_US |
dc.identifier.epage | 301 | en_US |
dc.identifier.isi | WOS:000265249000008 | - |
dc.publisher.place | United Kingdom | en_US |
dc.identifier.scopusauthorid | Borisov, L=7005880646 | en_US |
dc.identifier.scopusauthorid | Hua, Z=24783234400 | en_US |
dc.identifier.issnl | 0001-8708 | - |