Abstract
Given two integers m ≥ n ≥ 0 we exhibit (ruled) surfaces with multiplicity m and Euler obstruction n.
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Grulha, N.G., Hernandes, M.E. & Martins, R. Polar multiplicities and Euler obstruction for ruled surfaces. Bull Braz Math Soc, New Series 43, 443–451 (2012). https://doi.org/10.1007/s00574-012-0021-3
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DOI: https://doi.org/10.1007/s00574-012-0021-3