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arXiv · 1812.11043

Toric degenerations in symplectic geometry

Milena Pabiniak
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Abstract

A toric degeneration in algebraic geometry is a process where a given projective variety is being degenerated into a toric one. Then one can obtain information about the original variety via analyzing the toric one, which is a much easier object to study. Harada and Kaveh described how one incorporates a symplectic structure into this process, providing a very useful tool for solving certain problems in symplectic geometry. Below we present applications of this method to questions about the Gromov width, and cohomological rigidity problems.

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Milena Pabiniak. 2018-12-28. Toric degenerations in symplectic geometry. https://arxiv.org/abs/1812.11043

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