The Library
Some properties of dynamical degrees with a view towards cubic fourfolds
Tools
Böhning, Christian, Bothmer, Hans-Christain Graf von and Sosna, Pawel (2016) Some properties of dynamical degrees with a view towards cubic fourfolds. Research in the Mathematical Sciences, 3 (23). doi:10.1186/s40687-016-0071-z ISSN 2197-9847.
|
PDF
WRAP-some-properties-dynamical-towards-Boehning-2016.pdf - Published Version - Requires a PDF viewer. Available under License Creative Commons Attribution 4.0. Download (1206Kb) | Preview |
|
PDF
WRAP_SemiContDynEtAl6.pdf - Accepted Version Embargoed item. Restricted access to Repository staff only - Requires a PDF viewer. Download (431Kb) |
Official URL: http://doi.org/10.1186/s40687-016-0071-z
Abstract
Dynamical degrees and spectra can serve to distinguish birational automorphism groups of varieties in quantitative, as opposed to only qualitative, ways. We introduce and discuss some properties of those degrees and the Cremona degrees, which facilitate computing or deriving inequalities for them in concrete cases: (generalized) lower semi-continuity, sub-multiplicativity, and an analogue of PicardManin/Zariski-Riemann spaces for higher codimension cycles. We also specialize to cubic fourfolds and show that under certain genericity assumptions the first and second dynamical degrees of a composition of reflections in points on the cubic coincide.
Item Type: | Journal Article | ||||||
---|---|---|---|---|---|---|---|
Subjects: | Q Science > QA Mathematics | ||||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||||
Library of Congress Subject Headings (LCSH): | Geometry, Algebraic., Functions of complex variables, Number theory. | ||||||
Journal or Publication Title: | Research in the Mathematical Sciences | ||||||
Publisher: | SpringerOpen | ||||||
ISSN: | 2197-9847 | ||||||
Official Date: | 1 November 2016 | ||||||
Dates: |
|
||||||
Volume: | 3 | ||||||
Number: | 23 | ||||||
DOI: | 10.1186/s40687-016-0071-z | ||||||
Status: | Peer Reviewed | ||||||
Publication Status: | Published | ||||||
Access rights to Published version: | Restricted or Subscription Access | ||||||
Date of first compliant deposit: | 7 June 2016 | ||||||
Date of first compliant Open Access: | 28 April 2017 | ||||||
Related URLs: |
Request changes or add full text files to a record
Repository staff actions (login required)
View Item |
Downloads
Downloads per month over past year