The Milnor number of a hypersurface singularity in arbitrary characteristic
, 2015 The Milnor number of an isolated hypersurface singularity, defined as the codimension $\mu(f)$ of the ideal generated by the partial derivatives of a power series $f$ whose zeros represent locally the hypersurface, is an important topological invariant ...
Hefez, Abramo +2 more
core
The relative Hodge–Tate spectral sequence for rigid analytic spaces
Journal of the London Mathematical Society, Volume 112, Issue 4, October 2025.Abstract We construct a relative Hodge–Tate spectral sequence for any smooth proper morphism of rigid analytic spaces over a perfectoid field extension of Qp$\mathbb {Q}_p$. To this end, we generalise Scholze's strategy in the absolute case by using smoothoid adic spaces.
Ben Heuer
wiley +1 more source
Milnor numbers and classes of local complete intersections
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 1999 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Brasselet, Jean-Paul +3 more
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Calculating generalised image and discriminant Milnor numbers in low dimensions [PDF]
Glasgow Mathematical Journal, 2001 Methods of calculating discriminant and image Milnor numbers in terms of the Milnor numbers of multiple point spaces are described for cases f:{ℂ}^3 \to {ℂ}^4 and F:{ℂ}^3 \to {ℂ}^3.
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The Milnor Number of Plane Branches With Tame Semigroup of Values
, 2017 The Milnor number of an isolated hypersurface singularity, defined as the codimension $\mu(f)$ 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 ...
Hefez, Abramo +2 more
core
PROTOCOL: The use of information and communications technologies (ICT) for contributing to the prevention of, and response to, sexual and gender-based violence against women and children in lower- and middle-income countries: an evidence and gap map. [PDF]
Campbell Syst Rev, 2021 Philbrick WC +3 more
europepmc +1 more source
Milnor invariants and Massey products for prime numbers [PDF]
Compositio Mathematica, 2004 This paper presents further results in the author's investigation of the analogy between links and primes. In this analogy a link corresponds to a set of primes in an algebraic number field all congruent to 1 modulo a fixed prime \(\ell\) and the link group corresponds to the Galois group of the maximal pro-\(\ell\) extension of \({\mathbb{Q}}\). It is
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Four-dimensional aspects of tight contact 3-manifolds. [PDF]
Proc Natl Acad Sci U S A, 2021 Hedden M, Raoux K.
europepmc +1 more source
Constant milnor number implies constant multiplicity for quasihomogeneous singularities
Manuscripta Mathematica, 1986 The author studies that the multiplicity does not change for certain topologically trivial deformations of an isolated hypersurface singularity. His work applies to all \(\mu\)-constant first order deformations and to all \(\mu\)-constant deformations of a quasihomogeneous singularity, i.e., an isolated hypersurface singularity with \({\mathbb{C ...
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Characteristic changes to pulsatile and steady-state load according to pulmonary hypertension classification. [PDF]
Physiol Rep, 2023 Hungerford S +9 more
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