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KHOA HỌC TỰ NHIÊN VÀ CÔNG NGHỆ NATURAL SCIENCES AND TECHNOLOGY

2022 TẬP 12 - VOLUME 12 SỐ 2 - ISSUE 2

ISSN 0866-787X

TẠP CHÍ KHOA HỌC ĐẠI HỌC ĐÀ LẠT TẠP CHÍ KHOA HỌC ĐẠI HỌC ĐÀ LẠT TẠP CHÍ KHOA HỌC ĐẠI HỌC ĐÀ LẠT

ĐẶC SAN VỀ LÝ THUYẾT KỲ DỊ VÀ CÁC ỨNG DỤNG

SPECIAL ISSUE ON SINGULARITY THEORY AND ITS APPLICATIONS

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TABLE OF CONTENTS

Preface ... 3

1. Laurentiu George Maxim

Geometry and topology of external and symmetric products of varieties ... 4 2. Javier Fernández de Bobadilla, Guillermo Peñafort-Sanchis, José Edson Sampaio

Topological invariants and Milnor fiber for A-finite germs C2 → C3 ... 19

3. Ta Le Loi, Pham Minh Quy

Bounds for volumes of sub-level sets of polynomials and applications ... 26

4. Nguyen Xuan Viet Nhan

Bi-lipschitz contact invariance of rank ... 40

5. Tran Nguyen Khanh Linh, Le Ngoc Long

Kähler differential modules and configurations of points in P2 ... 48

6. Nguyen Thi Ngoc Giao

The way to create a plane Cremona map from its characteristic ... 61

7. David Angelo Trotman

Some geometric properties of Whitney stratifications ... 78

8. Le Quy Thuong

Grothendieck rings of definable subassignments and equivariant motivic measures ... 86

9. Nguyen Hong Cong, Dang Tuan Hiep, Nguyen Thi Mai Van

Euler characteristic of Tango bundles ... 113 10. Le Dung Trang

The Thom condition ... 123

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DALAT UNIVERSITY JOURNAL OF SCIENCE Volume 12, Issue 2, 2022

PREFACE

Re: The special issue on singularity theory and its applications

Dear Editors, Reviewers, Authors, and Readers:

This special issue of the Dalat University Journal of Science is dedicated to the International Colloquium on Singularity Theory and Its Applications, which was hosted by the Faculty of Mathematics and Computer Science, Dalat University, Vietnam, from November 16 to 18, 2020. The colloquium was held in honor of Professor Ha Huy Vui on his seventieth birthday and Professor Ta Le Loi on his sixtieth birthday.

Carefully peer-reviewed and selected from many manuscripts presented at the col- loquium, the ten papers in this special issue cover a wide range of topics, highlighting the impressive breadth of research on singularity theory and its applications in Vietnam and worldwide. We hope that this special issue not only brings our university’s research to the world but also provides an incentive for further collaborations with researchers from all over the world.

On behalf of the guest editorial board, we would like to express our gratitude to the authors for their contributions and to the referees for the conscientious work they contributed to this special issue. We thank all the participants, and particularly the keynote speakers, who made the colloquium successful.

Last, but not least, we are grateful to Dalat University for providing the facilities and financing the colloquium.

With best regards, Dang Tuan Hiep Le Quy Thuong

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