Covers of algebraic varieties III. The discriminant of a cover of degree 4 and the trigonal construction期刊界 All Journals 搜尽天下杂志传播学术成果专业期刊搜索期刊信息化学术搜索

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Covers of algebraic varieties III. The discriminant of a cover of degree 4 and the trigonal construction

Authors:	G Casnati

Institution:	Dipartimento di Matematica Pura ed Applicata, Università degli Studi di Padova, via Belzoni 7, I--35131 Padova (Italy)

Abstract:	For each Gorenstein cover $\varrho \colon X\to Y$ of degree we define a scheme $\Delta (X)$ and a generically finite map $\Delta (\varrho )\colon \Delta (X)\to Y$ of degree called the discriminant of $\varrho$ . Using this construction we deal with smooth degree covers $\varrho \colon X\to {{\mathbb P}^{n}_{\mathbb{C}}}$ with $n\ge 5$ . Moreover we also generalize the trigonal construction of S. Recillas.

Keywords:	Cover Gorenstein discriminant

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