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math.AG2026
Xiao's Degree-Four Fibration and the Polizzi Model
Anar Akhmedov, Sümeyra Sakallı
Let be the surface in Xiao's degree-four family identified by Polizzi as a smooth divisor in . Starting from Polizzi's branch model and Xiao's classification of the thi…
math.AG2019
On the BV structure on the cohomology of moduli space
Sümeyra Sakallı, Alexander A. Voronov
The question of vanishing of the BV operator on the cohomology of the moduli space of Riemann surfaces is investigated. The BV structure, which comprises a BV operator and an antib…