Behavior of branes under mirror symmetry in the moduli spaces of Higgs bundles
Global geometry of singular holomorphic foliations and distributions
Full text | |
Author(s): |
Bruzzo, Ugo
;
Lo Giudice, Alessio
Total Authors: 2
|
Document type: | Journal article |
Source: | ASIAN JOURNAL OF MATHEMATICS; v. 20, n. 3, p. 399-408, JUL 2016. |
Web of Science Citations: | 4 |
Abstract | |
We determine some classes of varieties X that include the varieties with numerically effective tangent bundle satisfying the following property: if epsilon = (E, phi) is a Higgs bundle such that f{*}epsilon is semistable for any morphism f:C -> X, where C is a smooth projective curve, then E is slope semistable and 2rc(2)(E) - (r - 1)c(1)(2)(E) = 0 in H-4 (X, R). We also characterize some classes of varieties such that the underlying vector bundle of a slope semistable Higgs bundle is always slope semistable. (AU) | |
FAPESP's process: | 13/20617-2 - Principal bundles over projective varieties |
Grantee: | Alessio Lo Giudice |
Support Opportunities: | Scholarships in Brazil - Post-Doctoral |