Journal of the
Korean Mathematical Society
JKMS

ISSN(Print) 0304-9914 ISSN(Online) 2234-3008

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J. Korean Math. Soc. 2016; 53(6): 1293-1308

Online first article August 25, 2016      Printed November 1, 2016

https://doi.org/10.4134/JKMS.j150492

Copyright © The Korean Mathematical Society.

Smoothly embedded rational homology balls

Heesang Park, Jongil Park, and Dongsoo Shin

Konkuk University, Korea Institute for Advanced Study, Chungnam National University

Abstract

In this paper we prove the existence of rational homology balls smoothly embedded in regular neighborhoods of certain linear chains of smooth $2$-spheres by using techniques from minimal model program for 3-dimensional complex algebraic variety.

Keywords: flip, rational blow-down/blow-up, rational homology ball

MSC numbers: 57R40, 57R55, 14B07

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