کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4597658 | 1336227 | 2010 | 26 صفحه PDF | دانلود رایگان |

A smooth, projective surface SS is called a standard isotrivial fibration if there exists a finite group GG which acts faithfully on two smooth projective curves CC and FF so that SS is isomorphic to the minimal desingularization of T≔(C×F)/GT≔(C×F)/G. Standard isotrivial fibrations of general type with pg=q=1pg=q=1 have been classified in [F. Polizzi, Standard isotrivial fibrations with pg=q=1pg=q=1, J. Algebra 321 (2009),1600–1631] under the assumption that TT has only Rational Double Points as singularities. In the present paper we extend this result, classifying all cases where SS is a minimal model. As a by-product, we provide the first examples of minimal surfaces of general type with pg=q=1pg=q=1, KS2=5 and Albanese fibration of genus 3. Finally, we show with explicit examples that the case where SS is not minimal actually occurs.
Journal: Journal of Pure and Applied Algebra - Volume 214, Issue 4, April 2010, Pages 344–369