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|
|Journal||Seminaire Lotharingien de Combinatoire|
|State||Published - 2019|
Bibliographical noteFunding Information:
∗email@example.com. K.A. was supported by ERC StG 716424 - CASe and ISF Grant 1050/16. †firstname.lastname@example.org. G.L. was supported by NSF grant 1440140. ‡email@example.com. M.T. was supported by ERC Consolidator Grant 770922 - BirNonAr-chGeom and ISF Grant 1159/15.
© 2019, Seminaire Lotharingien de Combinatoire. All Rights Reserved.
- Cayley polytopes
- mixed subdivisions
- semistable reduction