Equivariant derived categories associated to a sum of two potentials
نویسندگان
چکیده
Suppose f,g are homogeneous polynomials of degree d defining smooth hypersurfaces Xf=V(f)⊂Pm−1 and Xg=V(g)⊂Pn−1. Then the sum f g defines a hypersurface X=V(f⊕g)⊂Pm+n−1 with an action μd scaling variables. Motivated by work Orlov, we construct semi-orthogonal decomposition derived category coherent sheaves on [X∕μd] provided d≥max{m,n}.
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ژورنال
عنوان ژورنال: Journal of Geometry and Physics
سال: 2021
ISSN: ['1879-1662', '0393-0440']
DOI: https://doi.org/10.1016/j.geomphys.2020.103944