REVIEW 3 cited by
Lectures on complex geometry, Calabi-Yau manifolds and toric geometry
Not yet reviewed by Pith; the record is open.
This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.
SPECIMEN: schema-true, not a live event
T0 review · schema-true
One-sentence machine reading of the paper's core claim.
pith:XXXXXXXX · record.json · timestamp
read the original abstract
These are introductory lecture notes on complex geometry, Calabi-Yau manifolds and toric geometry. We first define basic concepts of complex and Kahler geometry. We then proceed with an analysis of various definitions of Calabi-Yau manifolds. The last section provides a short introduction to toric geometry, aimed at constructing Calabi-Yau manifolds in two different ways; as hypersurfaces in toric varieties and as local toric Calabi-Yau threefolds. These lecture notes supplement a mini-course that was given by the author at the Modave Summer School in Mathematical Physics 2005, and at CERN in 2007.
Forward citations
Cited by 3 Pith papers
-
Cohomological lifting of multi-toric graphs
Compact edges of a G2 multi-moment graph lift from the base via cohomological formulas, and in the toric case the loop closes exactly when the cohomological condition [ω]∪[F]=0 holds.
-
Symbolic Approximations to Ricci-flat Metrics Via Extrinsic Symmetries of Calabi-Yau Hypersurfaces
The paper proposes that Calabi-Yau flat metrics inherit extra symmetries from the surrounding space, and uses this to build compact symbolic approximations and exact expressions on special loci.
-
Lectures on Naturalness, String Landscape and Multiverse
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
Discussion (0). Continue with ORCID to comment.