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Fibration theorems ...
Fibration theorems à la Milnor for analytic maps with non-isolated singularities
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Cisneros-Molina, José Luis (författare)
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- Menegon, Aurelio (författare)
- Mittuniversitetet,Institutionen för data- och elektroteknik (2023-),Universidade Federal da Paraíba, PB, João Pessoa, Brazil
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Seade, José (författare)
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Snoussi, Jawad (författare)
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(creator_code:org_t)
- 2023
- 2023
- Engelska.
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Ingår i: São Paulo Journal of Mathematical Sciences. - : Springer Nature. - 1982-6907 .- 2316-9028.
- Relaterad länk:
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https://doi.org/10.1...
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https://urn.kb.se/re...
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https://doi.org/10.1...
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Abstract
Ämnesord
Stäng
- We study the topology of real analytic maps in a neighborhood of a (possibly non-isolated) critical point. We prove fibration theorems à la Milnor for real analytic maps with non-isolated critical values. Here we study the situation for maps with arbitrary critical set. We use the concept of d-regularity introduced in an earlier paper for maps with an isolated critical value. We prove that this is the key point for the existence of a Milnor fibration on the sphere in the general setting. Plenty of examples are discussed along the text, particularly the interesting family of functions (f, g) : Rn→ R2 of the type (f,g)=(∑i=1naixip,∑i=1nbixiq), where ai, bi∈ R are constants in generic position and p, q≥ 2 are integers.
Ämnesord
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Nyckelord
- d-regularity
- Linear discriminant
- Milnor fibration
- Sub-analytic
Publikations- och innehållstyp
- ref (ämneskategori)
- art (ämneskategori)
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