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Limit computations in algebraic geometry and their complexity

Çöµ¿ÈÆ (POSTECH)
2010. 05. 13.

Given a one-parameter family of algebraic varieties, its point-wise limit is usually too small whereas its algebraic limit is usually too big. I will introduce a notion of meaningful geometric limit and explain how it can be effectively computed, and discuss the cost of carrying out such computations.