5 citations · 27 across the 15 of their papers we have counts for
12 papers · 1 filter
Logarithmic cotangent bundles, Chern-Mather classes, and the Huh-Sturmfels Involution conjecture
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang +1
Using compactifications in the logarithmic cotangent bundle, we obtain a formula for the Chern classes of the pushforward of Lagrangian cycles under an open embedding with normal c…
Non-abelian Mellin Transformations and Applications
Yongqiang Liu, Laurenţiu Maxim, Botong Wang
We study non-abelian versions of the Mellin transformations, originally introduced by Gabber-Loeser on complex affine tori. Our main result is a generalization to the non-abelian c…
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…
A semi-small decomposition of the Chow ring of a matroid
Tom Braden, June Huh, Jacob P. Matherne +2
We give a semi-small orthogonal decomposition of the Chow ring of a matroid M. The decomposition is used to give simple proofs of Poincaré duality, the hard Lefschetz theorem, and…
Lyubeznik numbers of irreducible projective varieties depend on the embedding
Botong Wang
We construct irreducible complex projective varieties such that the Lyubeznik numbers of their affine cones depend on the choices of projective embeddings. The main ingredient is t…
Euclidean distance degree of projective varieties
Laurentiu G. Maxim, Jose Israel Rodriguez, Botong Wang
We give a positive answer to a conjecture of Aluffi-Harris on the computation of the Euclidean distance degree of a possibly singular projective variety in terms of the local Euler…