Abelian varieties, surfaces of general type and integrable systems.

Lesfari, A.

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Multigraded factorial rings and Fano varieties with torus action.

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A class of discriminant varieties in the conformal 3-sphere.

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A 4₃ configuration of lines and conics in ℙ⁵

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Studying the connection between the title configuration and Kummer surfaces we write explicit quadratic equations for the latter. The main results are presented in Theorems 8 and 16.

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Sa Earp, Ricardo, Toubiana, Eric (2002)

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The Gaussian measure on algebraic varieties

Ilka Agricola, Thomas Friedrich (1999)

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We prove that the ring ℝ[M] of all polynomials defined on a real algebraic variety $M \subset ℝ^{n}$ is dense in the Hilbert space $L^{2} (M, e^{- {| x |}^{2}} d μ)$ , where dμ denotes the volume form of M and $d ν = e^{- {| x |}^{2}} d μ$ the Gaussian measure on M.

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.