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math.AG2023★ 1 cited
Equivariant toric geometry and Euler-Maclaurin formulae
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann +1
We consider equivariant versions of the motivic Chern and Hirzebruch characteristic classes of a quasi-projective toric variety, and extend many known results from non-equivariant…
math.AG2023
Hirzebruch-Milnor classes of hypersurfaces with nontrivial normal bundles and applications to higher du Bois and rational singularities
Laurenţiu Maxim, Morihiko Saito, Ruijie Yang
We extend the Hirzebruch-Milnor class of a hypersurface to the case where the normal bundle is nontrivial and cannot be defined by a global function, using the associated l…
math.AG2023
Higher Du Bois and higher rational singularities of hypersurfaces
Laurenţiu Maxim, Ruijie Yang
In this note, we give several equivalent characterizations of higher Du Bois and higher rational singularities in the context of globally defined hypersurfaces. As a key input, we…