Semantic Scholar Open Access 1999 430 sitasi

Torification and factorization of birational maps

D. Abramovich Kalle Karu K. Matsuki J. Włodarczyk

Lihat Sumber DOI

Abstrak

Building on the work of the fourth author in math.AG/9904074, we prove the weak factorization conjecture for birational maps in characteristic zero: a birational map between complete nonsingular varieties over an algebraically closed field K of characteristic zero is a composite of blowings up and blowings down with smooth centers. Such a factorization exists which is functorial with respect to absolute isomorphisms, and compatible with a normal crossings divisor. The same holds for algebraic and analytic spaces. Another proof of the main theorem by the fourth author appeared in math.AG/9904076.

Topik & Kata Kunci

Mathematics

Penulis (4)

D. Abramovich

Kalle Karu

K. Matsuki

J. Włodarczyk

Format Sitasi

APA MLA BibTeX

Abramovich, D., Karu, K., Matsuki, K., Włodarczyk, J. (1999). Torification and factorization of birational maps. https://doi.org/10.1090/S0894-0347-02-00396-X

Akses Cepat

Lihat di Sumber doi.org/10.1090/S0894-0347-02-00396-X

Informasi Jurnal

Tahun Terbit: 1999
Bahasa: en
Total Sitasi: 430×
Sumber Database: Semantic Scholar
DOI: 10.1090/S0894-0347-02-00396-X
Akses: Open Access ✓