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EnglishA product-quotient surface is the minimal resolution of the singularities of the quotient of a product of two curves by the action of a finite group acting separately on the two factors. We classify all minimal product-quotient surfaces of general type with geometric genus 0: they form 72 families. We show that there is exactly one product-quotient surface of general type whose canonical class has positive selfintersection which is not minimal, and describe its (-1)-curves. For all of these surfaces the Bloch conjecture holds.
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http://hdl.handle.net/11572/88209| Titolo: | The classification of minimal product-quotient surfaces with p_g=0 |
| Autori Unitn: | Pignatelli, Roberto |
| Anno di pubblicazione: | 2012 |
| Titolo del periodico: | MATHEMATICS OF COMPUTATION |
| Abstract: | A product-quotient surface is the minimal resolution of the singularities of the quotient of a product of two curves by the action of a finite group acting separately on the two factors. We classify all minimal product-quotient surfaces of general type with geometric genus 0: they form 72 families. We show that there is exactly one product-quotient surface of general type whose canonical class has positive selfintersection which is not minimal, and describe its (-1)-curves. For all of these surfaces the Bloch conjecture holds. |
| Handle: | http://hdl.handle.net/11572/88209 |
| Appare nelle tipologie: | 03.1 Articolo su rivista (Journal article) |
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