Use this URL to cite or link to this record in EThOS: | https://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.345225 |
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Title: | Some new surfaces with pg = 0 | ||||||
Author: | Barlow, Rebecca Nora |
ISNI:
0000 0001 3445 5319
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Awarding Body: | University of Warwick | ||||||
Current Institution: | University of Warwick | ||||||
Date of Award: | 1982 | ||||||
Availability of Full Text: |
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Abstract: | |||||||
We give families of examples of surfaces of general type X with pg=0, K2=1 double covered by surfaces T with pg=0, K2=2. In Chapter 2 we classify all such constructions with |π(T)|=8, giving 4-parameter families of surfaces X for which π(X)=Z2 and Z4. There is a complete description of surfaces with pg=0, K2=l, π=Z4 in [Rl]. There was one example S with H(S,Z)=Z2 in [0&P]. The most interesting construction is the one in Chapter 3, for which πX={l}. This answers negatively the following question "are all simply connected surfaces with pg=0 K2>0 rational" coming from Severi's conjecture. These constructions were motivated by Reid's conjecture that if a given fundamental group H occurs, there should be examples X=T/Z2 with π(X)=H. In the Appendix we give an alternative proof of a formula for the arithmetic genus of a quotient surface, based on a remark of Hirzebruch.
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Supervisor: | Not available | Sponsor: | Science Research Council (Great Britain) (SRC) | ||||
Qualification Name: | Thesis (Ph.D.) | Qualification Level: | Doctoral | ||||
EThOS ID: | uk.bl.ethos.345225 | DOI: | Not available | ||||
Keywords: | QA Mathematics | ||||||
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