Seminar on Geometric Complex Analysis
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Date, time & place | Monday 10:30 - 12:00 128Room #128 (Graduate School of Math. Sci. Bldg.) |
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Organizer(s) | Kengo Hirachi, Shigeharu Takayama |
2012/01/30
10:30-12:00 Room #128 (Graduate School of Math. Sci. Bldg.)
Damian Brotbek (University of Tokyo)
Differential equations as embedding obstructions and vanishing theorems (ENGLISH)
Damian Brotbek (University of Tokyo)
Differential equations as embedding obstructions and vanishing theorems (ENGLISH)
[ Abstract ]
Given a smooth projective variety $X$ it is natural to wonder what is the smallest integer $N$ such that one can embed $X$ into $\mathbf{P}^N$. In this talk I will first recall what can be said for any smooth projective variety, then I will explain how the existence of some particular differential equations on $X$ yields obstructions to the existence of some projective embeddings.
Given a smooth projective variety $X$ it is natural to wonder what is the smallest integer $N$ such that one can embed $X$ into $\mathbf{P}^N$. In this talk I will first recall what can be said for any smooth projective variety, then I will explain how the existence of some particular differential equations on $X$ yields obstructions to the existence of some projective embeddings.