A septic with 99 real nodes

Oliver Labs

Displaying similar documents to “A septic with 99 real nodes”

Singularities in drawings of singular surfaces

Alain Joets (2008)

Banach Center Publications

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When drawing regular surfaces, one creates a concrete and visual example of a projection between two spaces of dimension 2. The singularities of the projection define the apparent contour of the surface. As a result there are two types of generic singularities: fold and cusp (Whitney singularities). The case of singular surfaces is much more complex. A priori, it is expected that new singularities may appear, resulting from the "interaction" between the singularities of the surface and...

Canonical surfaces with $p_{g} = p_{a} = 5$ and $K^{2} = 10$

Ciro Ciliberto (1982)

Annali della Scuola Normale Superiore di Pisa - Classe di Scienze

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Quintic surfaces of $P^{3}$ having a non singular model with $q = p_{g} = 0, P_{2} \neq 0$

Piercarlo Craighero, Remo Gattazzo (1994)

Rendiconti del Seminario Matematico della Università di Padova

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Equisingular generic discriminants and Whitney conditions

Eric Dago Akéké (2008)

Annales de la faculté des sciences de Toulouse Mathématiques

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The purpose of this article is to show that are satisfied for complex analytic families of normal surface singularities for which the are . According to J. Briançon and J. P. Speder the constancy of the topological type of a family of surface singularities does not imply Whitney conditions in general. We will see here that for a family of these two equisingularity conditions are equivalent.

A new construction of a surface of degree $5$ having $31$ nodes

Ezio Stagnaro (1983)

Rendiconti del Seminario Matematico della Università di Padova

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Local embeddings of lines in singular hypersurfaces

Guangfeng Jiang, Dirk Siersma (1999)

Annales de l'institut Fourier

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Lines on hypersurfaces with isolated singularities are classified. New normal forms of simple singularities with respect to lines are obtained. Several invariants are introduced.

Elliptic fibres on Enriques surfaces

G. Angermüller, W. Barth (1982)

Compositio Mathematica

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Real algebraic threefolds I. Terminal singularities.

János Kollár (1998)

Collectanea Mathematica

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The aim of this series of papers is to develop the theory of minimal models for real algebraic threefolds. The ultimate aim is to understand the topology of the set of real points of real algebraic threefolds. We pay special attention to 3–folds which are birational to projective space and, more generally, to 3–folds of Kodaira dimension minus infinity.present work contains the beginning steps of this program. First we classify 3–dimensional terminal singularities over any field of characteristic...