|
|||||
 |
|
|
|
|
|
|
|
Functorial
factorization of birational maps for qe schemes in
characteristic 0
Dan Abramovich and Michael Temkin |
|
Vol. 13 (2019), No. 2, 379–424
|
Abstract |
|
We prove functorial weak factorization of projective birational morphisms of regular quasiexcellent schemes in characteristic 0 broadly based on the existing line of proof for varieties. From this general functorial statement we deduce factorization results for algebraic stacks, formal schemes, complex analytic germs, Berkovich analytic and rigid analytic spaces, answering a present need in nonarchimedean geometry. Techniques developed for this purpose include a method for functorial factorization of toric maps, variation of GIT quotients relative to general noetherian qe schemes, and a GAGA theorem for Stein compacts. |
PDF Access Denied
We have not been able to recognize your IP address
18.191.171.20
as that of a subscriber to this journal.
Online access to the content of recent issues is by
subscription, or purchase of single articles.
Please contact your institution's librarian suggesting a subscription, for example by using our journal-recommendation form. Or, visit our subscription page for instructions on purchasing a subscription.
You may also contact us at
contact@msp.org
or by using our
contact form.
Or, you may purchase this single article for USD 40.00:
Keywords
birational geometry, blowing up, bimeromorphic maps
|
Mathematical Subject Classification 2010
Primary: 14E05
Secondary: 14A20, 14E15, 14L30, 32H04
|
Milestones
Received: 20 December 2017
Revised: 23 November 2018
Accepted: 4 January 2019
Published: 2 March 2019
|
Authors |
| Dan Abramovich | |
| Department of Mathematics Brown University Providence, RI United States |
|
| Michael Temkin | |
| Einstein Institute of
Mathematics The Hebrew University of Jerusalem Jerusalem Israel |
|
