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The moduli of
rational Weierstrass fibrations over P1:
singularities
Pablo Lejarraga |
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Vol. 160 (1993), No. 1, 91–107
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Abstract |
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The Weierstrass equation y2 = x3 + ax + b, where a and b are rational functions of one variable, defines a fibration over P1, which we call a Weierstrass fibration. We consider the moduli space W of rational Weierstrass fibrations over P1. In this paper we determine the singular locus of W and we compute the general singularities. We work over C, but it seems possible to generalize our methods to characteristic p≠2,3. |
Mathematical Subject Classification 2000
Primary: 14H10
Secondary: 14E15
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Milestones
Received: 12 February 1991
Published: 1 September 1993
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Authors |
| Pablo Lejarraga | |
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