A coincidence theorem for holomorphic maps to G/P

Sankaran, Parameswaran (2003) A coincidence theorem for holomorphic maps to G/P Canadian Mathematical Bulletin, 46 (2). pp. 291-298. ISSN 0008-4395

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Official URL: http://cms.math.ca/10.4153/CMB-2003-029-4

Related URL: http://dx.doi.org/10.4153/CMB-2003-029-4

Abstract

The purpose of this note is to extend to an arbitrary generalized Hopf and Calabi-Eckmann manifold the following result of Kalyan Mukherjea: Let Vn=S2n+1xS2n+1 denote a Calabi-Eckmann manifold. If f,g:Vn→Pn are any two holomorphic maps, at least one of them being non-constant, then there exists a coincidence:f(x)=g(x) for some x∈Vn. Our proof involves a coincidence theorem for holomorphic maps to complex projective varieties of the form G/P where G is complex simple algebraic group and P⊂G is a maximal parabolic subgroup, where one of the maps is dominant.

Item Type:Article
Source:Copyright of this article belongs to Canadian Mathematical Society.
ID Code:96289
Deposited On:11 Dec 2012 10:15
Last Modified:11 Dec 2012 10:15

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