Counting points of bounded height on del Pezzo surfaces

Counting points of bounded height on del Pezzo surfaces

Show other versions (1)

del Pezzo surfaces are isomorphic to either P<sup>1</sup> x P<sup>1</sup> or P<sup>2</sup> blown up <i>a</i> times, where <i>a</i> ranges from 0 to 8. We will look at lines on del Pezzo surfaces isomorphic to P<sup>2</sup> bl...

Full description

Bibliographic Details
Main Author: Kleven, Stephanie
Format: Others
Language:en
Published: University of Waterloo 2007
Subjects:
Mathematics
del Pezzo surfaces
rational points
height function
Online Access:http://hdl.handle.net/10012/2948
id ndltd-LACETR-oai-collectionscanada.gc.ca-OWTU.10012-2948
record_format oai_dc
spelling ndltd-LACETR-oai-collectionscanada.gc.ca-OWTU.10012-29482013-10-04T04:07:47ZKleven, Stephanie2007-05-08T14:02:01Z2007-05-08T14:02:01Z20062006http://hdl.handle.net/10012/2948del Pezzo surfaces are isomorphic to either P<sup>1</sup> x P<sup>1</sup> or P<sup>2</sup> blown up <i>a</i> times, where <i>a</i> ranges from 0 to 8. We will look at lines on del Pezzo surfaces isomorphic to P<sup>2</sup> blown up <i>a</i> times with <i>a</i> ranging from 0 to 6. We will show that when we count points of bounded height on one of these surfaces, the number of points on lines give us the primary growth order, but the secondary growth order calculates the number of points on the rest of the surface and hence is a better representation of the geometry of the surface.application/pdf342218 bytesapplication/pdfenUniversity of WaterlooCopyright: 2006, Kleven, Stephanie. All rights reserved.Mathematicsdel Pezzo surfacesrational pointsheight functionCounting points of bounded height on del Pezzo surfacesThesis or DissertationPure MathematicsMaster of Mathematics
collection NDLTD
language en
format Others
sources NDLTD
topic Mathematics
del Pezzo surfaces
rational points
height function
spellingShingle Mathematics
del Pezzo surfaces
rational points
height function
Kleven, Stephanie
Counting points of bounded height on del Pezzo surfaces
description del Pezzo surfaces are isomorphic to either P<sup>1</sup> x P<sup>1</sup> or P<sup>2</sup> blown up <i>a</i> times, where <i>a</i> ranges from 0 to 8. We will look at lines on del Pezzo surfaces isomorphic to P<sup>2</sup> blown up <i>a</i> times with <i>a</i> ranging from 0 to 6. We will show that when we count points of bounded height on one of these surfaces, the number of points on lines give us the primary growth order, but the secondary growth order calculates the number of points on the rest of the surface and hence is a better representation of the geometry of the surface.
author Kleven, Stephanie
author_facet Kleven, Stephanie
author_sort Kleven, Stephanie
title Counting points of bounded height on del Pezzo surfaces
title_short Counting points of bounded height on del Pezzo surfaces
title_full Counting points of bounded height on del Pezzo surfaces
title_fullStr Counting points of bounded height on del Pezzo surfaces
title_full_unstemmed Counting points of bounded height on del Pezzo surfaces
title_sort counting points of bounded height on del pezzo surfaces
publisher University of Waterloo
publishDate 2007
url http://hdl.handle.net/10012/2948
work_keys_str_mv AT klevenstephanie countingpointsofboundedheightondelpezzosurfaces
_version_ 1716599668354318336

Similar Items