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- Title
A FAMILY OF SURFACES CONSTRUCTED FROM GENUS 2 CURVES.
- Authors
SCHOEN, CHAD
- Abstract
We consider the deformations of the two-dimensional complex analytic variety constructed from a genus 2 Riemann surface by attaching its self-product to its Jacobian in an elementary way. The deformations are shown to be unobstructed, the variety smooths to give complex projective manifolds whose invariants are computed and whose images under Albanese maps (re)verify an instance of the Hodge conjecture for certain abelian fourfolds.
- Subjects
DEFORMATIONS (Mechanics); RIEMANN surfaces; MATHEMATICAL functions; DIFFERENTIAL equations; JACOBIAN matrices; ALGEBRAIC curves; COMPLEX manifolds; ANALYTIC spaces
- Publication
International Journal of Mathematics, 2007, Vol 18, Issue 5, p585
- ISSN
0129-167X
- Publication type
Article
- DOI
10.1142/S0129167X07004175