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Event

Olivier Martin (IMPA)

Wednesday, December 11, 2024 15:00to16:00

Title: The Xiao conjecture for surfaces fibered by trigonal genus 5 curves

Abstract: The Xiao conjecture predicts that the relative irregularity听q_f:=q(S)-g(B) of a fibered surface f: S--->B is at most g/2+1, where g is the genus of the general fiber. It was proven by Barja, Gonz谩lez-Alonso, and Naranjo when the general fiber has maximal Clifford index. I will present a proof of the Xiao conjecture for surfaces fibered by trigonal genus 5 curves, which completes the proof of the Xiao conjecture for surfaces fibered by genus 5 curves.

Location: UQAM PK-5675

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