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 |
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| State | Published - 2019 |
| Event | 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 - Ljubljana, Slovenia Duration: 1 Jul 2019 → 5 Jul 2019 |
Conference
| Conference | 31st International Conference on Formal Power Series and Algebraic Combinatorics, FPSAC 2019 |
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| Country/Territory | Slovenia |
| City | Ljubljana |
| Period | 1/07/19 → 5/07/19 |
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:
© FPSAC 2019 - 31st International Conference on Formal Power Series and Algebraic Combinatorics. All rights reserved.
Keywords
- Cayley polytopes
- Mixed subdivisions
- Semistable reduction