Intersection of quadrics in ${\mathbb{C}}^n$, moment-angle manifolds, complex manifolds and convex polytopes

Alberto Verjovsky

Intersection of quadrics in ${\mathbb{C}}^n$, moment-angle manifolds, complex manifolds and convex polytopes

Complex Variables 2018-07-04 v1

Authors: Alberto Verjovsky

Abstract

These are notes for the CIME school on Complex non-K\"ahler geometry from July 9th to July 13th of 2018 in Cetraro, Italy. It is an overview of different properties of a class of non-K\"ahler compact complex manifolds called LVMB manifolds, obtained as the Hausdorff space of leaves of systems of commuting complex linear equations in an open set in complex projective space ${{mathbb P}_{\mathbb C}}^{n-1}$

Keywords

intersection of quadrics moment-angle manifolds complex manifolds convex polytopes lvmb manifolds non-kahler geometry

Cite

@article{arxiv.1807.00838,
  title  = {Intersection of quadrics in ${\mathbb{C}}^n$, moment-angle manifolds, complex manifolds and convex polytopes},
  author = {Alberto Verjovsky},
  journal= {arXiv preprint arXiv:1807.00838},
  year   = {2018}
}

Intersection of quadrics in ${\mathbb{C}}^n$, moment-angle manifolds, complex manifolds and convex polytopes

Abstract

Keywords

Cite

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