Author pages are created from data sourced from our academic publisher partnerships and public sources.

Publications Influence

Share This Author

Intersection homology and Alexander modules of hypersurface complements

- L. Maxim
- Mathematics
- 21 September 2004

Let $V$ be a degree $d$, reduced hypersurface in $\mathbb{CP}^{n+1}$, $n \geq 1$, and fix a generic hyperplane, $H$. Denote by $\mathcal{U}$ the (affine) hypersurface complement, $\mathbb{CP}^{n+1}-V… Expand

Characteristic classes of complex hypersurfaces

- S. Cappell, L. Maxim, Joerg Schuermann, J. Shaneson
- Mathematics
- 22 August 2009

Abstract The Milnor–Hirzebruch class of a locally complete intersection X in an algebraic manifold M measures the difference between the (Poincare dual of the) Hirzebruch class of the virtual tangent… Expand

Twisted genera of symmetric products

- L. Maxim, Jörg Schürmann
- Mathematics
- 6 June 2009

We give a new proof of formulae for the generating series of (Hodge) genera of symmetric products X(n) with coefficients, which hold for complex quasi-projective varieties X with any kind of… Expand

A decomposition theorem for the peripheral complex associatedwith hypersurfaces

- L. Maxim
- Mathematics
- 2005

We give necessary and sufficient conditions for a decomposition (in the category of perverse sheaves) of the Cappell-Shaneson peripheral complex associated with a complex affine hypersurface. We also… Expand

Intersection cohomology invariants of complex algebraic varieties

- S. Cappell, L. Maxim, J. Shaneson
- Mathematics
- 2007

In this note we use the deep BBDG decomposition theorem in order to give a new proof of the so-called "stratified multiplicative property" for certain intersection cohomology invariants of complex… Expand

Intersection Homology & Perverse Sheaves

- L. Maxim
- MathematicsGraduate Texts in Mathematics
- 1 December 2019

Multivariable alexander invariants of hypersurface complements

We start with a discussion on Alexander invariants, and then prove some general results concerning the divisibility of the Alexander polynomials and the supports of the Alexander modules, via Artin's… Expand

Deformation of Singularities and the Homology of Intersection Spaces

- Markus Banagl, L. Maxim
- Mathematics
- 25 January 2011

While intersection cohomology is stable under small resolutions, both ordinary and intersection cohomology are unstable under smooth deformation of singularities. For complex projective algebraic… Expand

Characteristic classes of symmetric products of complex quasi-projective varieties

- S. Cappell, L. Maxim, Joerg Schuermann, J. Shaneson, Shoji Yokura
- Mathematics
- 25 August 2010

We prove generating series formulae for suitable twisted characteristic classes of symmetric products of a singular complex quasi-projective variety. More concretely, we study homology Hirzebruch… Expand

...

1

2

3

4

5

...