Projective Varieties in $\mathbb{P}^{N}_{k}$

Audun Holme ()
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Audun Holme: University of Bergen, Department of Mathematics

Chapter Chapter 5 in A Royal Road to Algebraic Geometry, 2012, pp 119-139 from Springer

Abstract: Abstract In this chapter we assume k to be an algebraically closed field, of any characteristic unless otherwise stated. Our aim is to give a summary of the most basic classical facts on higher dimensional projective algebraic geometry, as a preparation to Grothendieck’s modern theory of schemes.

Keywords: Projective Variety; Coordinate Ring; High Dimensional Case; Effective Divisor; Discrete Valuation Ring (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-19225-8_5

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