Covers of algebraic varieties III.

The discriminant of a cover of degree 4

and the trigonal construction

Author:
G. Casnati

Journal:
Trans. Amer. Math. Soc. **350** (1998), 1359-1378

MSC (1991):
Primary 14E20, 14E22

DOI:
https://doi.org/10.1090/S0002-9947-98-02136-9

MathSciNet review:
1467462

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Abstract | References | Similar Articles | Additional Information

Abstract: For each Gorenstein cover of degree we define a scheme and a generically finite map of degree called the *discriminant of *. Using this construction we deal with smooth degree covers with . Moreover we also generalize the *trigonal construction* of S. Recillas.

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Additional Information

**G. Casnati**

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

Email:
casnati@galileo.math.unipd.it

DOI:
https://doi.org/10.1090/S0002-9947-98-02136-9

Keywords:
Cover,
Gorenstein,
discriminant

Received by editor(s):
December 1, 1995

Additional Notes:
This work was done in the framework of the AGE project, H.C.M. contract ERBCHRXCT 940557.

Article copyright:
© Copyright 1998
American Mathematical Society