Tag Archives: quasi-projective varieties

Commutative Algebra 64

Posted on May 30, 2020 by limsup

Segre Embedding Throughout this article, k is a fixed algebraically closed field. We wish to construct the product in the category of quasi-projective varieties. For our first example, let be the projective variety defined by the homogeneous equation . We define … Continue reading →

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Commutative Algebra 62

Posted on May 25, 2020 by limsup

Irreducible Subsets of Projective Space Throughout this article, k is an algebraically closed field. We wish to consider irreducible closed subsets of . For that we need the following preliminary result. Lemma 1. Let be a graded ring; a proper homogeneous … Continue reading →

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