Integral points of bounded height on a certain toric variety
Wilsch, Florian Alexander
Integral point
toric variety
Manin's conjecture
We determine an asymptotic formula for the number of integral points of
bounded height on a certain toric variety, which is incompatible with part of a
preprint by Chambert-Loir and Tschinkel. We provide an alternative
interpretation of the asymptotic formula we get. To do so, we construct an
analogue of Peyre's constant $\alpha$ and describe its relation to a new
obstruction to the Zariski density of integral points in certain regions of
varieties.
2022
info:eu-repo/semantics/preprint
doc-type:preprint
text
http://purl.org/coar/resource_type/c_816b
https://research-explorer.app.ist.ac.at/record/10788
Wilsch FA. Integral points of bounded height on a certain toric variety. <i>arXiv</i>.
eng
info:eu-repo/semantics/altIdentifier/arxiv/2202.10909
info:eu-repo/grantAgreement/FWF//P32428
info:eu-repo/semantics/openAccess