Results 51 to 60 of about 8,612,691 (178)

On the Milnor fibres of initial forms of topologically equivalent holomorphic functions

Bulletin of the London Mathematical Society, Volume 58, Issue 6, June 2026.
Abstract Budur, Fernández de Bobadilla, Le, and Nguyen in 2022 conjectured that if two germs of holomorphic functions are topologically equivalent, then the Milnor fibres of their initial forms are homotopy equivalent. In this paper, we give an affirmative answer to this conjecture in the case of plane curves.
José Edson Sampaio
wiley   +1 more source

Rickard's derived Morita theory: Review and outlook

Journal of the London Mathematical Society, Volume 113, Issue 6, June 2026.
Abstract We survey the main results in Jeremy Rickard's seminal papers ‘Morita theory for derived categories’ and ‘Derived equivalences and derived functors’. These papers catalysed the later development of the Morita theory of (enhanced) compactly generated triangulated categories by Keller in the algebraic setting and by Schwede and Shipley in the ...
Gustavo Jasso, Henning Krause, Sibylle Schroll   +2 more
wiley   +1 more source

A Number Field Extension of a Question of Milnor

, 2015
Milnor formulated a conjecture about rational linear independence of some special Hurwitz zeta values. The second and third authors along with Ram Murty studied this conjecture and suggested an extension of Milnor’s conjecture.
S. Gun, T. Chatterjee, Rath, P., Chatterjee, T., Gun, S., P. Rath   +5 more
core   +1 more source

Stabilization of Poincaré duality complexes and homotopy gyrations

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract Stabilization of manifolds by a product of spheres or a projective space is important in geometry. There has been considerable recent work that studies the homotopy theory of stabilization for connected manifolds. This paper generalizes that work by developing new methods that allow for a generalization to stabilization of Poincaré duality ...
Ruizhi Huang, Stephen Theriault
wiley   +1 more source

The fundamental group of the complement of a generic fiber‐type curve

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract In this paper, we describe and characterize the fundamental group of the complement of generic fiber‐type curves, that is, unions of (the closure of) finitely many generic fibers of a component‐free pencil F=[f:g]:CP2⤍CP1$F=[f:g]:\mathbb {C}\mathbb {P}^2\dashrightarrow \mathbb {C}\mathbb {P}^1$.
José I. Cogolludo‐Agustín, Eva Elduque   +1 more
wiley   +1 more source

A¹-Milnor numbers

, 2021
https://rdc.reed.edu/v1/resources/d5b2be24-81b7-4aca-8e09-8eaa58ea2c91/thumb/128.jpgIn this thesis, we look at a new generalization of the classical Milnor number that draws on tools from A¹-homotopy theory, known as the A¹-Milnor number.
Hafeez, Muhammad Usman
core  

HNN extensions and embedding theorems for groups

Journal of the London Mathematical Society, Volume 113, Issue 5, May 2026.
Abstract The Higman–Neumann–Neumann (HNN) paper of 1949 is a landmark of group theory in the 20th century. The proof of its main theorem covers less than a page and uses only pre‐existing technology, but the construction that it introduced, the HNN extension, quickly became one of the principal tools of combinatorial group theory, widely used to build ...
Martin R. Bridson, Carl‐Fredrik Nyberg‐Brodda   +1 more
wiley   +1 more source

The Milnor Number of Plane Branches with Tame Semigroups of Values

Bulletin of the Brazilian Mathematical Society, New Series, 2018
The Milnor number of an isolated hypersurface singularity, defined as the codimension $μ(f)$ of the ideal generated by the partial derivatives of a power series $f$ that represents locally the hypersurface, is an important topological invariant of the singularity over the complex numbers.
A. Hefez, J. H. O. Rodrigues, R. Salomão   +2 more
openaire   +2 more sources

Equivariant toric geometry and Euler–Maclaurin formulae

Communications on Pure and Applied Mathematics, Volume 79, Issue 3, Page 451-557, March 2026.
Abstract We first investigate torus‐equivariant motivic characteristic classes of toric varieties, and then apply them via the equivariant Riemann–Roch formalism to prove very general Euler–Maclaurin‐type formulae for full‐dimensional simple lattice polytopes.
Sylvain E. Cappell, Laurenţiu Maxim, Jörg Schürmann, Julius L. Shaneson   +3 more
wiley   +1 more source

An application of bivariant theory to Milnor classes [PDF]

, 2001
The notion of the Milnor number of an isolated singularity of a hypersurface has been generalized to the so-called “Milnor class” in such a way that the degree of the zero-dimensional component of the Milnor class is nothing but the Parusiński ...
Yokura, Shoji, Shoji Yokura
core   +1 more source