Results 91 to 100 of about 1,001 (184)
Milnor numbers and the topology of polynomial hypersurfaces
Inventiones Mathematicae, 1988 Let F: \({\mathbb{C}}^{n+1}\to {\mathbb{C}}\) be a polynomial. F is called tame if \(\| \partial F(x)\| >a\) for \(\| x\| >R\), where a and R are some positive real numbers. In this case, F has only a finite number of critical points. Let \(\mu\) (F) (resp. \(\mu^ c(F))\) be the sum of the Milnor numbers at all critical points of F in \({\mathbb{C}}^{n+
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Poliedro de Newton e o número de Milnor [PDF]
, 2006 In this work, we study the relation between Milnor's number and the Newton's number of a formal series. The former is always greater than or equal to the latter and equality occurs whan the formal series f has non-degenerate newtonian principal part at ...
Spohr, Cristina
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The jump of Milnor numbers in families of non-degenerate and non-convenient singularities
, 2013 The non-degenerate jump of the Milnor number of an isolated singularity f0 is the minimal non-zero difference between the Milnor numbers of f0 and one of its non-degenerate deformations (fs).
Walewska, Justyna
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Milnor and Tjurina numbers for an isolated complete intersection singularity
, 2023 This paper aims to prove that given a isolated complete intersection singularity, the Milnor number will be bounded by a bound depending only on Tjurina number and dimension of the singularity.
Upmanyu, Mohit, Parameswaran, A. J.
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A bound for the Milnor number of plane curve singularities
Open Mathematics, 2014 Płoski Arkadiusz
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Degenerate singularities and their Milnor numbers
, 2011 We give an example of a curious behaviour of the Milnor number with respect to evolving degeneracy of an isolated singularity in $\bbbC^2$
Brzostowski, Szymon
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We show that any knot or link can arise as the real part of the Milnor fibre in a flat deformation of an appropriate space curve singularity. However, it seems that to achieve knotting one needs a rather high Milnor number. (C) 1999 Elsevier Science Ltd.
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Correction for Jordan and Zaytman, On the bounded generation of arithmetic SL2. [PDF]
Proc Natl Acad Sci U S A, 2021 europepmc +1 more source
Degenerate singularities and their Milnor numbers
, 2015 We give an example of a curious behaviour of the Milnor number with respect to evolving degeneracy of an isolated singularity in ...
Brzostowski, Szymon
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