Wonderful Compactification of an Arrangement of Subvarieties

COMPLEX ALGEBRAIC GEOMETRY
Topic:Wonderful Compactification of an Arrangement of Subvarieties
Speaker:Li Li
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.