The Lawson-Yau Formula and its generalization

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dc.creatorHu, Wenchuan
dc.date2008-09-17
dc.date2008-12-08
dc.date.accessioned2026-07-07T12:09:42Z
dc.date.available2026-07-07T12:09:42Z
dc.descriptionThe Euler characteristic of Chow varieties of algebraic cycles of a given degree in complex projective spaces was computed by Blaine Lawson and Stephen Yau by using holomorphic symmetries of cycles spaces. In this paper we compute this in a direct and elementary way and generalize this formula to the l-adic Euler-Poincare characteristic for Chow varieties over any algebraically closed field. Moreover, the Euler characteristic for Chow varieties with certain group action is calculated. In particular, we calculate the Euler characteristic of the space of right quaternionic cycles of a given dimension and degree in complex projective spaces.
dc.description11 pages, added sections on the case by finite group actions; typos corrected
dc.identifierhttps://arxiv.org/abs/0809.2988
dc.identifierhttp://arxiv.org/abs/0809.2988
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/209716
dc.subjectAlgebraic Geometry
dc.subjectK-Theory and Homology
dc.subject14C05, 14F20
dc.titleThe Lawson-Yau Formula and its generalization
dc.typetext

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