✦ LIBER ✦

On Standard Projective Plane Bundles

✍ Scribed by Takashi Maeda

Publisher: Elsevier Science
Year: 1997
Tongue: English
Weight: 404 KB
Volume: 197
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.1997.7120

No coin nor oath required. For personal study only.

✦ Synopsis

For a K-form V of P 2 over the function field K over an algebraically closed K Ž . field k of char k s 0, we will construct a proper flat surjective morphism Ž . : V ª X with V and X smooth projective varieties over k such that i the Ž . Ž . function field of X is K, ii the generic fibre of is isomorphic to V , iii the K relative Picard number is equal to one. This is a generalization of a result of V. G. Sarkisov about standard conic bundles.

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