A note on a question of Markman

Huang Shengyuan

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A note on a question of Markman

机译：关于Markman问题的说明

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摘要

Let F be a vector bundle on a complex projective algebraic variety X. If F deforms along a first order deformation of X, its Mukai vector remains of Hodge type along this deformation. We prove an analogous statement for all polyvector fields, not only for those in H-1(X, T-X) corresponding to deformations of the complex structure. This answers a question of Markman. We also explore a Lie theoretic analogue of the statement above. (C) 2021 Elsevier B.V. All rights reserved.

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《Journal of pure and applied algebra》 |2021年第9期|共8页
作者
Huang Shengyuan;
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作者单位

Univ Wisconsin Math Dept 480 Lincoln Dr Madison WI 53706 USA;

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原文格式 PDF
正文语种 eng
中图分类代数、数论、组合理论;
关键词
Hochschild homology and cohomology; HKR isomorphisms; Deformation;

机译：Hochschild同调与上同调;HKR同构;变形;

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A note on a question of Markman

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