Linking number and Milnor invariants
, 2018 This is a concise overview of the definitions and properties of the linking number and its higher-order generalization, Milnor invariants.
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Note on Milnor numbers of irreducible germs
, 2023 Let $(\bf {V,0})\subset (\mathbb{C}^n,0)$ be a germ of a complex hypersurface and let $f: (\mathbb{C}^n,0)\to(\mathbb{C}^n,0)$ be a germ of a finite holomorphic mapping. If germs $(\bf {V,0})$ and ${\bf W}:=(F^{-1}(\bf{ V})),0)$ are irreducible and with isolated singularities, then $$μ(F^{-1}(\bf{ V}))\ge μ(\bf {V}),$$ where $μ$ denotes the Milnor ...
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Computer algebra and Bruce-Roberts Milnor number (Developments in Computer Algebra : Recent Research and Re-Formation of Basic Theory) [PDF]
, 2017 Bruce-Roberts Milnor number is a generarization of the Milnor number, a multiplicity of an isolated critical point of a holomorphic function germ. This number is defined for a critical point of a holomorphic function on a singular variety.
鍋島, 克輔 +2 more
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On Milnor and Tjurina numbers of foliations
, 2022 We study the relationship between the Milnor and Tjurina numbers of a singular foliation $\mathcal{F}$, in the complex plane, with respect to a balanced divisor of separatrices $\mathcal{B}$ for $\mathcal{F}$. For that, we associated with $\mathcal{F}$ a
Fernández-Pérez, Arturo +2 more
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Explicit estimates for Betti numbers and their arithmetic applications
四川大学学报. 自然科学版This survey discusses explicit estimates for Betti numbers of algebraic varieties and their arith-metic applications.The guiding problem is to bound the total Betti number， or the compactly supported total Betti number， of a variety defined by equations ...
WAN Daqing, ZHANG Dingxin
doaj
L-subalgebras, Milnor basis, and cohomology of Eilenberg-MacLane spaces [PDF]
, 1999 We describe mod p cohomology rings of Eilenberg-MacLane spaces in terms of the Milnor basis rather than in terms of admissible monomials of the Steenrod algebra.
Tamanoi, Hirotaka
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A number field extension of a question of Milnor
, 2016 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. In this note, we investigate the number field generalisation of this extended Milnor conjecture.
Chatterjee, Tapas +2 more
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The will of Maria Milnor before her marriage to Richard Imlay, a debtor, specifying that all goods and money are for the use of Thomas Rotch rather than any husband or husbands she might marry.
Milnor, Maria
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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
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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.
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