AN APPLICATION OF AMPLE VECTOR BUNDLES IN REAL ALGEBRAIC GEOMETRY

作者：Kucharz Wojciech^*; Rusek Kamil

来源：Proceedings of the American Mathematical Society, 2011, 139(4): 1155-1161.

DOI：10.1090/S0002-9939-2010-10765-7

• Real algebraic set
• algebraic vector bundle
• algebraic cohomology class
• nonsingular projective complexification
• ample vector bundle

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.

• 出版日期2011-4