Conormal Sheaf and Projective Bundles

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

Chapter Chapter 16 in A Royal Road to Algebraic Geometry, 2012, pp 275-284 from Springer

Abstract: Abstract This chapter starts with introducing the conormal sheaf, then proceeds to the sheaf of Kähler differentials of an S-scheme X. Then comes the construction of the universal 1-quotient on , leading up to the Segre embedding for projective bundles. The chapter concludes with base extensions of projective morphisms and the concept of regular schemes, also the concept of a formally étale morphism is defined.

Keywords: Conormal Bundle; Segre Embedding; Projective Morphism; Extended Basis; Regular Scheme (search for similar items in EconPapers)
Date: 2012
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DOI: 10.1007/978-3-642-19225-8_16

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