3 citations · 6 across the 10 of their papers we have counts for
10 papers
Euclidean distance degree defect of singular projective varieties
Laurenţiu G. Maxim, Jose Israel Rodriguez, Botong Wang
The unit Euclidean distance degree and the generic Euclidean distance degree are two well-studied invariants of projective varieties. These quantities measure the algebraic complex…
Hirzebruch-Milnor classes of local complete intersections, minimal exponent, and applications to higher singularities
Bradley Dirks, Laurenţiu Maxim, Sebastián Olano
In this paper we use the deformation to the normal cone and the corresponding Verdier-Saito specialization to define and study (spectral) Hirzebruch-Milnor type homology characteri…
Equivariant toric geometry and Euler-Maclaurin formulae -- an overview
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann +1
We survey recent developments in the study of torus equivariant motivic Chern and Hirzebruch characteristic classes of projective toric varieties, with applications to calculating…
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…
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…
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…
Cohomology of -local systems on complex hyperplane arrangement complements
Yongqiang Liu, Laurenţiu Maxim, Botong Wang
We prove a Cohen-Dimca-Orlik type theorem for rank one -local systems on complex hyperplane arrangement complements. This settles a recent conjecture of S. Sugawara.
Constructible sheaf complexes in complex geometry and Applications
Laurenţiu G. Maxim, Jörg Schürmann
We present a detailed introduction of the theory of constructible sheaf complexes in the complex algebraic and analytic setting. All concepts are illustrated by many interesting ex…
Alexander modules, Mellin transformation and variations of mixed Hodge structures
Eva Elduque, Moisés Herradón Cueto, Laurenţiu Maxim +1
To any complex algebraic variety endowed with a morphism to a complex affine torus we associate multivariable cohomological Alexander modules, and define natural mixed Hodge struct…
Hodge theory on Alexander invariants -- a survey
Eva Elduque, Christian Geske, Moisés Herradón Cueto +2
We survey recent developments in the study of Hodge theoretic aspects of Alexander-type invariants associated with smooth complex algebraic varieties.