An application of ample vector bundles in real algebraic geometry

Kucharz, Wojciech; Rusek, Kamil

doi:10.1090/S0002-9939-2010-10765-7

An application of ample vector bundles in real algebraic geometry
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Proc. Amer. Math. Soc. 139 (2011), 1155-1161 Request permission

Abstract:

Let $E$ be an algebraic vector bundle on a compact nonsingular real algebraic set $X$, and let $Z$ be the zero locus of a “generic” algebraic section of $E$. We investigate how certain cohomological invariants of $X$ and $Z$ are related. A crucial role in the proof is played by ample vector bundles on a suitable complexification of $X$.

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