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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)


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Biswas, Indranil ; Bruzzo, Ugo ; Grana Otero, Beatriz ; Lo Giudice, Alessio
Total Authors: 4
Document type: Journal article
Source: ASIAN JOURNAL OF MATHEMATICS; v. 20, n. 5, p. 989-1000, 2016.
Web of Science Citations: 0

Let X be a compact connected Kahler-Einstein manifold with c(1)(TX) >= 0. If there is a semistable Higgs vector bundle (E, theta) on X with. theta not equal 0, then we show that c(1)(TX) = 0; any X satisfying this condition is called a Calabi-Yau manifold, and it admits a Ricci-flat Kahler form {[}Ya]. Let (E, theta) be a polystable Higgs vector bundle on a compact Ricci-flat Kahler manifold X. Let h be an Hermitian structure on E satisfying the Yang-Mills-Higgs equation for (E, theta). We prove that h also satisfies the Yang-Mills-Higgs equation for (E, 0). A similar result is proved for Hermitian structures on principal Higgs bundles on X satisfying the Yang-Mills-Higgs equation. (AU)

FAPESP's process: 13/20617-2 - Principal bundles over projective varieties
Grantee:Alessio Lo Giudice
Support Opportunities: Scholarships in Brazil - Post-Doctorate