Institute of Mathematics for Industry


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Characterizations of projective spaces and hyperquadrics

Hold Date 2012-11-08 15:30~2012-11-08 17:00

Place seminar room 6, Faculty of Mathematics building, Ito Campus

Object person  

Speaker Taku SUZUKI (Waseda University)

Many results to characterize projective spaces and hyperquadrics have
been provided. Kovács' conjecture states that smooth complex projective
varieties are projective spaces or hyperquadrics if the $p$-th exterior product
of their tangent bundle contains the $p$-th exterior product of an ample
vector bundle. In this talk, I will explain the idea of the proof of Kovács'
 conjecture for varieties with Picard number one.