Sebastian Heller

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20242026

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math.DG2026

Non-algebraicity of the Lawson surfaces $ξ_{k, l}$

Lynn Heller, Sebastian Heller

We prove that every Lawson surface $ξ_{k, l} \subset S^{3}$ of genus $k l > 1$ is non-algebraic: any real polynomial vanishing on $ξ_{k, l}$ vanishes identically on $S^{3}$ . T…

math.DG2026

The Enclosed Volume for Periodic Constant Mean Curvature Surfaces

Lynn Heller, Sebastian Heller, Martin Traizet

We establish a general formula for the enclosed volume of constant mean curvature (CMC) surfaces in Euclidean three space with translational periods forming a lattice. The formula…

Non-algebraicity of the Lawson surfaces ξk,l​

The Enclosed Volume for Periodic Constant Mean Curvature Surfaces

Non-algebraicity of the Lawson surfaces $ξ_{k, l}$