The arithmetic of certain del Pezzo surfaces and K3 surfaces

Dong Quan Ngoc Nguyen

Displaying similar documents to “The arithmetic of certain del Pezzo surfaces and K3 surfaces”

Cubic form geometry for surfaces in $𝐒^{3} (1)$ .

Lusala, Tsasa (2002)

Beiträge zur Algebra und Geometrie

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Gross’ conjecture for extensions ramified over four points of $ℙ^{1}$

Po-Yi Huang (2006)

Journal de Théorie des Nombres de Bordeaux

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In this paper, under a mild hypothesis, we prove a conjecture of Gross for the Stickelberger element of the maximal abelian extension over the rational function field unramified outside a set of four degree-one places.

Manin’s conjecture for a singular sextic del Pezzo surface

Daniel Loughran (2010)

Journal de Théorie des Nombres de Bordeaux

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We prove Manin’s conjecture for a del Pezzo surface of degree six which has one singularity of type $A_{2}$ . Moreover, we achieve a meromorphic continuation and explicit expression of the associated height zeta function.

On $D$ sot hat $x^{2} - D y^{2}$ represents $m$ and $- m$ and not $- 1$ .

Robertson, John P. (2009)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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On $D$ so that $x^{2} - D y^{2} = \pm m$ .

Robertson, John P. (2006)

Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]

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The circle method and pairs of quadratic forms

Henryk Iwaniec, Ritabrata Munshi (2010)

Journal de Théorie des Nombres de Bordeaux

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We give non-trivial upper bounds for the number of integral solutions, of given size, of a system of two quadratic form equations in five variables.

On composition factors of finite groups having the same set of element orders as the group $U_{3} (q)$ .

Aleeva, M.R. (2002)

Sibirskij Matematicheskij Zhurnal

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Displaying similar documents to “The arithmetic of certain del Pezzo surfaces and K3 surfaces”

Cubic form geometry for surfaces in 𝐒 3 ( 1 ) .

Gross’ conjecture for extensions ramified over four points of ℙ 1

Manin’s conjecture for a singular sextic del Pezzo surface

On D sot hat x 2 - D y 2 represents m and - m and not - 1 .

On D so that x 2 - D y 2 = ± m .

The circle method and pairs of quadratic forms

On composition factors of finite groups having the same set of element orders as the group U 3 ( q ) .

Cubic form geometry for surfaces in $𝐒^{3} (1)$ .

Gross’ conjecture for extensions ramified over four points of $ℙ^{1}$

On $D$ sot hat $x^{2} - D y^{2}$ represents $m$ and $- m$ and not $- 1$ .

On $D$ so that $x^{2} - D y^{2} = \pm m$ .

On composition factors of finite groups having the same set of element orders as the group $U_{3} (q)$ .