CONFIGURATION SPACES OF NON-SINGULAR CUBIC SURFACES WITH ECKARDT POINTS

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概要

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• Let P^19 be the parametrizing space of cubic surfaces in P^3. The subset corresponds to non-singular cubic surfaces open in P^19. We denote by M_k ⊂ P^19 the subset of points corresponding to non-singular cubic surfaces in P^3 with at least k Eckardt points. For every k, we determine the dimension and the number of irreducible components of M_k. A nonsingular cubic surface can be viewed as the blowing-up of P^2 at six points in general position. A close study of the configuration of six points in P^2 enables us to describe the configuration space of points in P^19 corresponding to non-singular cubic surfaces with a given number of Eckardt points. This study also provides an easy method to obtain the classification of nonsingular cubic surfaces according to the number of Eckardt points, which is a well-known result.

• Faculty of Mathematics, Kyushu Universityの論文

著者

• Chanh Tu

  Department of Mathematics Hue University of Education

• Nguyen Chanh

  Department of Mathematics Hue University of Education

関連論文

• CONFIGURATION SPACES OF NON-SINGULAR CUBIC SURFACES WITH ECKARDT POINTS

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