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June 2006 Estimated transversality and rational maps
Rosa Sena-Dias
J. Symplectic Geom. 4(2): 199-236 (June 2006).

Abstract

In this paper, we address a question of Donaldson’s on the best estimate that can be achieved for the transversality of an asymptotically holomorphic sequence of sections of increasing powers of a line bundle over an integral symplectic manifold. More specifically, we find an upper bound for the transversality of $n + 1$ such sequences of sections over a $2n$-dimensional symplectic manifold. In the simplest case of $S\sp 2$, we also relate the problem to a well-known question in potential theory (namely, that of finding logarithmic equilibrium points), thus establishing an experimental lower bound for the transversality.

Citation

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Rosa Sena-Dias. "Estimated transversality and rational maps." J. Symplectic Geom. 4 (2) 199 - 236, June 2006.

Information

Published: June 2006
First available in Project Euclid: 5 April 2007

zbMATH: 1117.53062
MathSciNet: MR2275004

Subjects:
Primary: 53Dxx

Rights: Copyright © 2006 International Press of Boston

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Vol.4 • No. 2 • June 2006
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