Tautological integrals on symmetric products of curves

doi:10.1007/s10114-016-5565-5

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	Tautological integrals on symmetric products of curves
	Wang, Zhi Lan
	2016-08-01
发表期刊	ACTA MATHEMATICA SINICA-ENGLISH SERIES
ISSN	1439-8516
卷号	32 期号:8 页码:901-910
摘要	We propose a conjecture on the generating series of Chern numbers of tautological bundles on symmetric products of curves and establish the rank 1 and rank -1 case of this conjecture. Thus we compute explicitly the generating series of integrals of Segre classes of tautological bundles of line bundles on curves, which has a similar structure as Lehn's conjecture for surfaces.
关键词	Hilbert schemes tautological sheaves
DOI	10.1007/s10114-016-5565-5
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000379537100003
出版者	SPRINGER HEIDELBERG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23107
专题	中国科学院数学与系统科学研究院
通讯作者	Wang, Zhi Lan
作者单位	Chinese Acad Sci, Inst Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Wang, Zhi Lan. Tautological integrals on symmetric products of curves[J]. ACTA MATHEMATICA SINICA-ENGLISH SERIES,2016,32(8):901-910.
APA	Wang, Zhi Lan.(2016).Tautological integrals on symmetric products of curves.ACTA MATHEMATICA SINICA-ENGLISH SERIES,32(8),901-910.
MLA	Wang, Zhi Lan."Tautological integrals on symmetric products of curves".ACTA MATHEMATICA SINICA-ENGLISH SERIES 32.8(2016):901-910.