Abstract
We address the semistable reduction conjecture of Abramovich and Karu: we prove that every surjective morphism of complex projective varieties can be modified to a semistable one. The key ingredient is a combinatorial result on triangulating lattice Cayley polytopes.
| Original language | American English |
|---|---|
| Article number | #25 |
| Journal | Seminaire Lotharingien de Combinatoire |
| Issue number | 82 |
| State | Published - 2019 |
Bibliographical note
Funding Information:∗adiprasito@math.huji.ac.il. K.A. was supported by ERC StG 716424 - CASe and ISF Grant 1050/16. †gakuliu@gmail.com. G.L. was supported by NSF grant 1440140. ‡michael.temkiin@mail.huji.ac.il. M.T. was supported by ERC Consolidator Grant 770922 - BirNonAr-chGeom and ISF Grant 1159/15.
Publisher Copyright:
© 2019, Seminaire Lotharingien de Combinatoire. All Rights Reserved.
Keywords
- Cayley polytopes
- mixed subdivisions
- semistable reduction