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| Title: | Automorphism groups and anti-pluricanonical curves | Authors: | Zhang, D.-Q. | Keywords: | Anti-pluricanonical curve Automorphism Complex dynamics |
Issue Date: | Jan-2008 | Citation: | Zhang, D.-Q. (2008-01). Automorphism groups and anti-pluricanonical curves. Mathematical Research Letters 15 (1) : 163-183. ScholarBank@NUS Repository. | Abstract: | We show the existence of an anti-pluricanonical curve on every smooth projective rational surface X which has an infinite group G of automorphisms of either null entropy or of type ℤ×ℤ, provided that the pair (X, G) is minimal. This was conjectured by Curtis T. McMullen (2005) and further traced back to Marat Gizatullin and Brian Harbourne (1987). We also prove (perhaps) the strongest form of the famous Tits alternative theorem. © International Press 2008. | Source Title: | Mathematical Research Letters | URI: | http://scholarbank.nus.edu.sg/handle/10635/102910 | ISSN: | 10732780 |
| Appears in Collections: | Staff Publications |
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