An overview of Manin's conjecture for del Pezzo surfaces

TD Browning

An overview of Manin's conjecture for del Pezzo surfaces

TD Browning

Research output: Chapter in Book/Report/Conference proceeding › Conference Contribution (Conference Proceeding)

Abstract

This paper surveys recent progress towards the Manin conjecture for (singular and non-singular) del Pezzo surfaces. To illustrate some of the techniques available, an upper bound of the expected order of magnitude is established for a singular del Pezzo surface of degree four.

Translated title of the contribution	An overview of Manin's conjecture for del Pezzo surfaces
Original language	English
Title of host publication	Analytic number theory -- a tribute to Gauss and Dirichlet (Goettingen)
Editors	W. Duke, Y. Tschinkel
Pages	39 - 56
Number of pages	18
Publication status	Published - 2007

Bibliographical note

Conference Proceedings/Title of Journal: Analytic number theory -- a tribute to Gauss and Dirichlet
Conference Organiser: W. Duke and Y. Tschinkel

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title = "An overview of Manin's conjecture for del Pezzo surfaces",

abstract = "This paper surveys recent progress towards the Manin conjecture for (singular and non-singular) del Pezzo surfaces. To illustrate some of the techniques available, an upper bound of the expected order of magnitude is established for a singular del Pezzo surface of degree four.",

author = "TD Browning",

note = "Conference Proceedings/Title of Journal: Analytic number theory -- a tribute to Gauss and Dirichlet Conference Organiser: W. Duke and Y. Tschinkel",

year = "2007",

language = "English",

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AB - This paper surveys recent progress towards the Manin conjecture for (singular and non-singular) del Pezzo surfaces. To illustrate some of the techniques available, an upper bound of the expected order of magnitude is established for a singular del Pezzo surface of degree four.

M3 - Conference Contribution (Conference Proceeding)

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EP - 56

BT - Analytic number theory -- a tribute to Gauss and Dirichlet (Goettingen)

A2 - Duke, W.

A2 - Tschinkel, Y.

ER -

An overview of Manin's conjecture for del Pezzo surfaces

Abstract

Bibliographical note

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