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Erschienen in:
Buchtitelbild

1992 | OriginalPaper | Buchkapitel

Affine and Projective Varieties

verfasst von : Joe Harris

Erschienen in: Algebraic Geometry

Verlag: Springer New York

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In this book we will be dealing with varieties over a field K, which we will take to be algebraically closed throughout. Algebraic geometry can certainly be done over arbitrary fields (or even more generally over rings), but not in so straightforward a fashion as we will do here; indeed, to work with varieties over nonalgebraically closed fields the best language to use is that of scheme theory. Classically, much of algebraic geometry was done over the complex numbers ℂ, and this remains the source of much of our geometric intuition; but where possible we will avoid assuming K = ℂ.

Metadaten
Titel
Affine and Projective Varieties
verfasst von
Joe Harris
Copyright-Jahr
1992
Verlag
Springer New York
DOI
https://doi.org/10.1007/978-1-4757-2189-8_1