Relevant bibliographies by topics / Milnor lattices. Singularities (Mathematics)

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  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters

Academic literature on the topic 'Milnor lattices. Singularities (Mathematics)'

Author: Grafiati
Published: 4 June 2021
Last updated: 2 February 2022

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Journal articles on the topic "Milnor lattices. Singularities (Mathematics)"

1

Ebeling, Wolfgang. "The Milnor Lattices of the Elliptic Hypersurface Singularities." Proceedings of the London Mathematical Society s3-53, no. 1 (1986): 85–111. http://dx.doi.org/10.1112/plms/s3-53.1.85.

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2

Massey, David B., and Le Dung Trang. "Hypersurface Singularities and Milnor Equisingularity." Pure and Applied Mathematics Quarterly 2, no. 3 (2006): 893–914. http://dx.doi.org/10.4310/pamq.2006.v2.n3.a13.

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3

Melle-Hernández, A. "Milnor numbers for surface singularities." Israel Journal of Mathematics 115, no. 1 (2000): 29–50. http://dx.doi.org/10.1007/bf02810579.

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4

Aleksandrov, A. G. "Milnor numbers of nonisolated saito singularities." Functional Analysis and Its Applications 21, no. 1 (1987): 1–9. http://dx.doi.org/10.1007/bf01077980.

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5

BHUPAL, MOHAN. "OPEN BOOK DECOMPOSITIONS OF LINKS OF SIMPLE SURFACE SINGULARITIES." International Journal of Mathematics 20, no. 12 (2009): 1527–45. http://dx.doi.org/10.1142/s0129167x09005868.

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We describe open book decompositions of links of simple surface singularities that support the corresponding unique Milnor fillable contact structures. The open books we describe are isotopic to Milnor open books.
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6

EBELING, W., S. M. GUSEIN-ZADE, and J. SEADE. "HOMOLOGICAL INDEX FOR 1-FORMS AND A MILNOR NUMBER FOR ISOLATED SINGULARITIES." International Journal of Mathematics 15, no. 09 (2004): 895–905. http://dx.doi.org/10.1142/s0129167x04002624.

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We introduce a notion of a homological index of a holomorphic 1-form on a germ of a complex analytic variety with an isolated singularity, inspired by Gómez-Mont and Greuel. For isolated complete intersection singularities it coincides with the index defined earlier by two of the authors. Subtracting from this index another one, called radial, we get an invariant of the singularity which does not depend on the 1-form. For isolated complete intersection singularities this invariant coincides with the Milnor number. We compute this invariant for arbitrary curve singularities and compare it with
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7

GORYUNOV, V., and D. MOND. "TJURINA AND MILNOR NUMBERS OF MATRIX SINGULARITIES." Journal of the London Mathematical Society 72, no. 01 (2005): 205–24. http://dx.doi.org/10.1112/s0024610705006575.

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8

Brzostowski, Szymon, Tadeusz Krasiński, and Justyna Walewska. "Milnor numbers in deformations of homogeneous singularities." Bulletin des Sciences Mathématiques 168 (May 2021): 102973. http://dx.doi.org/10.1016/j.bulsci.2021.102973.

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9

Némethi, András, and Meral Tosun. "Invariants of open books of links of surface singularities." Studia Scientiarum Mathematicarum Hungarica 48, no. 1 (2011): 135–44. http://dx.doi.org/10.1556/sscmath.2010.1159.

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If M is the link of a complex normal surface singularity, then it carries a canonical contact structure ξcan, which can be identified from the topology of the 3-manifold M. We assume that M is a rational homology sphere. We compute the support genus, the binding number and the norm associated with the open books which support ζcan, provided that we restrict ourselves to the case of (analytic) Milnor open books. In order to do this, we determine monotonity properties of the genus and the Milnor number of all Milnor fibrations in terms of the Lipman cone.We generalize results of [3] valid for li
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10

McEwan, Lee J. "Topology of Milnor fibers of minimally elliptic singularities." Proceedings of the American Mathematical Society 118, no. 4 (1993): 1017. http://dx.doi.org/10.1090/s0002-9939-1993-1172960-1.

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Dissertations / Theses on the topic "Milnor lattices. Singularities (Mathematics)"

1

Mendris, Robert. "The link of suspension singularities and Zariski’s conjecture." The Ohio State University, 2003. http://rave.ohiolink.edu/etdc/view?acc_num=osu1061248740.

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2

Szawlowski, Adrian. "The Geometry of the Milnor Number." Doctoral thesis, 2012. http://hdl.handle.net/11858/00-1735-0000-000D-F064-9.

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Books on the topic "Milnor lattices. Singularities (Mathematics)"

1

Ágnes, Szilárd, ed. Milnor fiber boundary of a non-isolated surface singularity. Springer, 2012.

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2

Némethi, András, and Ágnes Szilárd. Milnor Fiber Boundary of a Non-isolated Surface Singularity. Springer, 2012.

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3

Massey, David B. Numerical Control over Complex Analytic Singularities. American Mathematical Society, 2003.

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Book chapters on the topic "Milnor lattices. Singularities (Mathematics)"

1

Ebeling, Wolfgang. "Milnor lattices and monodromy groups." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078933.

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2

Schrauwen, Rob. "Deformations and the milnor number of non-isolated plane curve singularities." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086388.

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3

Shioda, Tetsuji. "Mordell-Weil lattices of type E8 and deformation of singularities." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1991. http://dx.doi.org/10.1007/bfb0086194.

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4

van Straten, D. "On the betti numbers of the milnor fibre of a certain class of hypersurface singularities." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078845.

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