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Signature of the Milnor fiber of parametrized surfaces.

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Τίτλος: Signature of the Milnor fiber of parametrized surfaces.
Συγγραφείς: Conejero, R. Giménez1 (AUTHOR) gicoro@uv.es, Pintér, Gergő2 (AUTHOR)
Πηγή: Journal of the London Mathematical Society. Sep2026, Vol. 114 Issue 3, p1-45. 45p.
Θεματικοί όροι: *Milnor fibration, *Mathematical singularities, *Topological property, *Mathematical formulas, *Immersions (Mathematics)
Περίληψη: We compute the signature of the Milnor fiber of certain type of nonisolated complex surface singularities, namely, images of finitely determined holomorphic germs. An explicit formula is given in algebraic terms. As a corollary we show that the signature of the Milnor fiber is a topological invariant for these singularities. The proof combines complex analytic and smooth topological techniques. The main tools are Thom–Mather theory of map germs and the Ekholm–Szűcs–Takase–Saeki formula for immersions. We give a table with many examples for which the signature is computed using our formula. [ABSTRACT FROM AUTHOR]
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  Data: Signature of the Milnor fiber of parametrized surfaces.
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  Data: <searchLink fieldCode="AR" term="%22Conejero%2C+R%2E+Giménez%22">Conejero, R. Giménez</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> gicoro@uv.es</i><br /><searchLink fieldCode="AR" term="%22Pintér%2C+Gergő%22">Pintér, Gergő</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Journal+of+the+London+Mathematical+Society%22">Journal of the London Mathematical Society</searchLink>. Sep2026, Vol. 114 Issue 3, p1-45. 45p.
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  Data: *<searchLink fieldCode="DE" term="%22Milnor+fibration%22">Milnor fibration</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+singularities%22">Mathematical singularities</searchLink><br />*<searchLink fieldCode="DE" term="%22Topological+property%22">Topological property</searchLink><br />*<searchLink fieldCode="DE" term="%22Mathematical+formulas%22">Mathematical formulas</searchLink><br />*<searchLink fieldCode="DE" term="%22Immersions+%28Mathematics%29%22">Immersions (Mathematics)</searchLink>
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  Label: Abstract
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  Data: We compute the signature of the Milnor fiber of certain type of nonisolated complex surface singularities, namely, images of finitely determined holomorphic germs. An explicit formula is given in algebraic terms. As a corollary we show that the signature of the Milnor fiber is a topological invariant for these singularities. The proof combines complex analytic and smooth topological techniques. The main tools are Thom–Mather theory of map germs and the Ekholm–Szűcs–Takase–Saeki formula for immersions. We give a table with many examples for which the signature is computed using our formula. [ABSTRACT FROM AUTHOR]
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        Value: 10.1112/jlms.70699
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 45
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      – SubjectFull: Milnor fibration
        Type: general
      – SubjectFull: Mathematical singularities
        Type: general
      – SubjectFull: Topological property
        Type: general
      – SubjectFull: Mathematical formulas
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      – TitleFull: Signature of the Milnor fiber of parametrized surfaces.
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              M: 09
              Text: Sep2026
              Type: published
              Y: 2026
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