Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques

Teddy Mignot

Acta Arithmetica (2016)

  • Volume: 172, Issue: 1, page 1-97
  • ISSN: 0065-1036

Abstract

top
We demonstrate the Batyrev-Manin Conjecture for the number of points of bounded height on hypersurfaces of some toric varieties whose rank of the Picard group is 2. The method used is inspired by the one developed by Schindler for the case of hypersurfaces of biprojective spaces and by Blomer and Brüdern for some hypersurfaces of multiprojective spaces. These methods are based on the Hardy-Littlewood circle method. The constant obtained in the final asymptotic formula is the one conjectured by Peyre.

How to cite

top

Teddy Mignot. "Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques." Acta Arithmetica 172.1 (2016): 1-97. <http://eudml.org/doc/279399>.

@article{TeddyMignot2016,
author = {Teddy Mignot},
journal = {Acta Arithmetica},
keywords = {points of bounded height; hypersurfaces; toric varieties; circle method; major arcs; minor arcs},
language = {fre},
number = {1},
pages = {1-97},
title = {Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques},
url = {http://eudml.org/doc/279399},
volume = {172},
year = {2016},
}

TY - JOUR
AU - Teddy Mignot
TI - Points de hauteur bornée sur les hypersurfaces lisses des variétés toriques
JO - Acta Arithmetica
PY - 2016
VL - 172
IS - 1
SP - 1
EP - 97
LA - fre
KW - points of bounded height; hypersurfaces; toric varieties; circle method; major arcs; minor arcs
UR - http://eudml.org/doc/279399
ER -

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.