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Birational geometry for d-critical loci and wall-crossing in Calaby–Yau 3-folds
2022
Algebraic Geometry
The notion of d-critical loci was introduced by Joyce in order to give classical shadows of (−1)-shifted symplectic derived schemes. In this paper, we discuss birational geometry for d-critical loci, by introducing notions such as "d-critical flips" and "d-critical flops". They are not birational maps of the underlying spaces, but rather should be understood as virtual birational maps. We show that several wall-crossing phenomena of moduli spaces of stable objects on Calabi-Yau 3-folds are
doi:10.14231/ag-2022-016
fatcat:p2t4vlsknrfhjdubdnsd4zovru