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Milnor Number of Weighted-Le-Yomdin Singularities [PDF]

open access: yesInternational Mathematics Research Notices, 2010
At the beginning of the seventies, O. Zariski proposed several problems related with the (embedded) topology of a germ of a n-dimensional hypersurface singularity defined by the zero locus of a germ of a complex analytic function. The second one was roughly stated as "if two analytic hypersurface germs are topologically equivalent then their tangent ...
E. A. Bartolo   +3 more
openaire   +2 more sources

From Milnor number to the Lê\'s Milnor number

open access: yes, 2011
Neste trabalho,apresentamos um breve compêndio sobre o estudo topológico das fibras de Milnor. Abordamoso caso clássico, estudado por J. Milnor, e a generalização apresentada por Lê D. T.
Camila Mariana Ruiz   +1 more
core   +1 more source

On Milnor and Tjurina Numbers of Foliations

open access: yesBulletin of the Brazilian Mathematical Society, New Series
39 pages, 3 ...
Arturo Fernández-Pérez   +2 more
openaire   +3 more sources

The Voting Premium

open access: yesThe Journal of Finance, Volume 81, Issue 3, Page 1321-1375, June 2026.
ABSTRACT We develop a unified theory of blockholder governance and the voting premium in a setting without takeovers or controlling shareholders. A voting premium emerges when a minority blockholder can influence shareholder composition by accumulating votes and buying shares from dissenting shareholders.
DORON LEVIT, NADYA MALENKO, ERNST MAUG
wiley   +1 more source

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

open access: yesBulletin 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

Finite jumps in Milnor number imply vanishing folds

open access: yes, 1983
Let { X t } \left \{ {{X_t}} \right \} be a family of isolated hypersurface singularities in which the Milnor number is not constant.
Donal B. O’Shea
core   +1 more source

Hodge theory of abelian covers of algebraic varieties

open access: yesForum of Mathematics, Sigma
Motivated by classical Alexander invariants of affine hypersurface complements, we endow certain finite dimensional quotients of the homology of abelian covers of complex algebraic varieties with a canonical and functorial mixed Hodge structure (MHS ...
Eva Elduque, Moisés Herradón Cueto
doaj   +1 more source

Rickard's derived Morita theory: Review and outlook

open access: yesJournal 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   +2 more
wiley   +1 more source

The second jump of milnor numbers

open access: yesDemonstratio Mathematica, 2010
AbstractLet
openaire   +1 more source

A Number Field Extension of a Question of Milnor

open access: yes, 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   +5 more
core   +1 more source

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