Dipartimento di Matematica ''F. Casorati''

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Fibred irregular varieties of low slope

Miguel Angel Barja (Universitat Politecnica de Catalunya)

Aula Beltrami - Mercoledì 6 Novembre 2019 h.16:00

Abstract. In the first part of the talk I will recall the known results for the slope of irregular fibred surfaces given by Xiao and introduce the continuous rank of a line bundle and the higher dimensional Clifford-Severi inequalities recently obtained by Pardini, Stoppino and myself. Then I will show how to deduce higher dimensional slope inequalities and study the limit cases, extending and giving an alternative version of recent results of Hu and Zhang.

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Dipartimento di Matematica ''F. Casorati''

Università degli Studi di Pavia - Via Ferrata, 5 - 27100 Pavia
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