surgery in complex geometry

surgery in complex geometry [closed]

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Give a resriction to ensure a surgery of a balanced manifold is still balanced.

In the following essay
L.Alessandrini & G.Bassanelli, Smooth proper modifications of compact Kahler manifolds, Proc. Internat. Workshop on Complex Analysis (Wuppertal 1990), Complex Analysis, Aspects of Mathatics E, Vol. 17, Vieweg, Germany, 1991.
we know that if f: M $\rightarrow $ N is a modification, M is balanced, then N is balanced too.
I'm wondering if the condition is changed from modificaion to surgery, can it still be true?
Let us make it clear here.Surgery is defined in the page 52 of Kodaira's"Complex manifolds and deformations complex structures". Modification is defined on the page 236 of GTM213.

flag	asked Jul 23 2011 at 5:59 Whitacre 29●1

Please go bak to the old question, and add appropriate details there. I suggest you actually write the definitions in the statement of the question, instead of expecting people to find and read the relevant books. – S. Carnahan♦ Jul 23 2011 at 8:43

Any surgery as defined in Kodaira-Morrow is a modification (following the standard definition) – YangMills Jul 25 2011 at 14:19

closed as exact duplicate by S. Carnahan♦ Jul 23 2011 at 8:41

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