|COMPLEX ALGEBRAIC GEOMETRY|
|Topic:||Wonderful Compactification of an Arrangement of Subvarieties|
|Affiliation:||Korea Institute for Advanced Study|
|Date:||Tuesday, April 10|
|Time/Room:||2:00pm - 3:00pm/S-101|
Consider an arrangement of nonsingular subvarieties in a nonsingular algebraic variety. We define a compactification of the complement by replacing these subvarieties with a normal crossing divisor. This compactification is obtained by a sequence of blow-ups along smooth centers. Some examples will be given. We also give a canonical decomposition of its Chow motive.