1 citations · 1 across the 4 of their papers we have counts for
5 papers
Projectively induced Kähler--Einstein surfaces
Andrea Loi, Mirel Caibăr
We classify compact Kähler--Einstein surfaces whose metric is induced by a holomorphic isometric immersion into a finite-dimensional complex projective space. No symmetry assumptio…
Complex Hyperbolic Immersions of Cheng--Yau Metrics on Thullen Domains
Mirel Caibãr, Andrea Loi
For , let \[ M(μ)=\left\{(z,w)\in\mathbb{C}^2 : |z|^2+|w|^{2/μ}<1\right\} \] be the Thullen domain, and let denote its complete Cheng--Yau Kähler--Einstein m…
Incidence and Abel-Jacobi equivalence
Mirel Caibar, C. Herbert Clemens
For an algebraic (n-1)-cycle Z on a complex projective (2n-1)-manifold X, P. Griffiths conjectured that, if Z is algebraically equivalent to zero and if the incidence divisor of Z…
Topological versions of Abel-Jacobi, the height pairing, and the Poincaré bundle
Mirel Caibar, Herbert Clemens
We extend to the topological setting the classical constructions of the Abel-Jacobi mapping on homologically trivial algebraic cycles and the height pairing between two such cycles…
Zariski decomposition: a new (old) chapter of linear algebra
Thomas Bauer, Mirel Caibar, Gary Kennedy
In a 1962 paper, Zariski introduced the decomposition theory that now bears his name. Although it arose in the context of algebraic geometry and deals with the configuration of cur…