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Torification and factorization of birational maps |
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| Authors: | Dan Abramovich Kalle Karu Kenji Matsuki Jaroslaw Wlodarczyk |
| Institution: | Department of Mathematics, Boston University, 111 Cummington Street, Boston, Massachusetts 02215 ; Department of Mathematics, Harvard University, One Oxford Street, Cambridge, Massachusetts 02139 ; Department of Mathematics, Purdue University, 1395 Mathematical Sciences Building, West Lafayette, Indiana 47907-1395 ; Instytut Matematyki UW, Banacha 2, 02-097 Warszawa, Poland |
| Abstract: | Building on work of the fourth author and Morelli's work, we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field  of characteristic zero is a composite of blowings up and blowings down with nonsingular centers. |
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