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Part of the book series: Graduate Texts in Mathematics ((GTM,volume 44))

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Abstract

The principal objects of study in algebraic geometry are algebraic varieties. In this introductory chapter, which is more informal in nature than those that follow, we shall define algebraic varieties and give some examples; we then give the reader an intuitive look at a few properties of a special class of varieties, the “complex algebraic curves.” These curves are simpler to study than more general algebraic varieties, and many of their simply-stated properties suggest possible generalizations. Chapter II is essentially devoted to proving some of the properties of algebraic curves described in this chapter.

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© 1977 Springer- Verlag, New York Inc.

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Kendig, K. (1977). Examples of curves. In: Elementary Algebraic Geometry. Graduate Texts in Mathematics, vol 44. Springer, New York, NY. https://doi.org/10.1007/978-1-4615-6899-5_1

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  • DOI: https://doi.org/10.1007/978-1-4615-6899-5_1

  • Publisher Name: Springer, New York, NY

  • Print ISBN: 978-1-4615-6901-5

  • Online ISBN: 978-1-4615-6899-5

  • eBook Packages: Springer Book Archive

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