Cohomological $\chi $ -dependence of ring structure for the moduli of one-dimensional sheaves on $\mathbb {P}^2$

We prove that the cohomology rings of the moduli space $M_{d,\chi }$ of one-dimensional sheaves on the projective plane are not isomorphic for general different choices of the Euler characteristics. This stands in contrast to the $\chi $ -independence of the Betti numbers of these modul...

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Bibliographic Details
Main Authors: Woonam Lim, Miguel Moreira, Weite Pi
Format: Article
Language:English
Published: Cambridge University Press 2024-01-01
Series:Forum of Mathematics, Sigma
Subjects:
Online Access:https://www.cambridge.org/core/product/identifier/S2050509424000318/type/journal_article