Monotonic invariants under blowups
Keyword(s):
We prove that the numerical invariant [Formula: see text] of a reduced irreducible plane curve singularity germ is non-negative, non-decreasing under blowups and strictly increasing unless the curve is non-singular. This provides a new perspective to understand the question posed by Dimca and Greuel. Moreover, our work can be put in the general framework of discovering monotonic invariants under blowups.
2003 ◽
Vol 46
(2)
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pp. 501-509
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2012 ◽
Vol 161
(7)
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pp. 1277-1303
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2019 ◽
Vol 147
(5)
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pp. 1825-1838
2017 ◽
Vol 21
(2)
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pp. 419-446
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2013 ◽
Vol 21
(1)
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pp. 51-57
1988 ◽
pp. 122-143
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2003 ◽
Vol 117
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pp. 125-156
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2005 ◽
Vol 37
(03)
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pp. 399-404
Keyword(s):