Some New Surfaces of General Type with Maximal Picard Number
Partha Solapurkar
TL;DR
This paper constructs complex surfaces of general type with maximal Picard number using fibrations of genus two curves over quaternionic Shimura curves, providing new examples in algebraic geometry.
Contribution
It introduces new examples of surfaces of general type with maximal Picard number arising from quaternionic Shimura curves.
Findings
Surfaces have maximal Picard number.
Construction uses genus two curve fibrations.
Examples expand known classes of algebraic surfaces.
Abstract
We construct some complex surfaces of general type with maximal Picard number. These examples arise as fibrations of genus two curves over quaternionic Shimura curves.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Geometry and complex manifolds