论文标题
HyperkählerOrbifolds的同事和安德烈动机
Cohomology and André motives of hyperkähler orbifolds
论文作者
论文摘要
研究紧凑型Hyperkähler歧管研究的主要工具之一是Looijenga-Lunts-Verbitsky Lie代数对这种歧管的共同体学的自然作用。这也适用于轻度奇异的全体形态符号性品种-HyperkählerOrbifolds,使我们能够证明这种Orbifolds的André动机往往是Abelian。
One of the main tools for the study of compact hyperkähler manifolds is the natural action of the Looijenga-Lunts-Verbitsky Lie algebra on the cohomology of such manifolds. This also applies to the mildly singular holomorphic symplectic varieties - hyperkähler orbifolds, allowing us to prove that André motives of such orbifolds tend to be abelian.