Simplicity of augmentations of codimension 1 germs and by Morse functions

التفاصيل البيبلوغرافية
العنوان: Simplicity of augmentations of codimension 1 germs and by Morse functions
المؤلفون: Ribes, I. Breva, Sinha, R. Oset
سنة النشر: 2022
المجموعة: Mathematics
مصطلحات موضوعية: Mathematics - Algebraic Geometry, Mathematics - Complex Variables
الوصف: We study the simplicity of map-germs obtained by the operation of augmentation and describe how to obtain their versal unfoldings. When the augmentation comes from an $\mathscr{A}_e$-codimension 1 germ or the augmenting function is a Morse function, we give a complete characterisation for simplicity. These characterisations yield all the simple augmentations in all explicitly obtained classifications of $\mathscr{A}$-simple monogerms except for one ($F_4$ in Mond's list from $\mathbb{C}^2$ to $\mathbb{C}^3$). Moreover, using our results we produce a list of simple augmentations from $\mathbb{C}^4$ to $\mathbb{C}^4$.
نوع الوثيقة: Working Paper
الوصول الحر: http://arxiv.org/abs/2203.09223Test
رقم الانضمام: edsarx.2203.09223
قاعدة البيانات: arXiv