ON ISOLATED SMOOTH CURVES OF LOW GENERA IN CALABI-YAU COMPLETE INTERSECTION THREEFOLDS.

Authors :: Knutsen, Andreas Leopold
Source :: Transactions of the American Mathematical Society; Oct2012, Vol. 364 Issue 10, p5243-5264, 22p
Publication Year :: 2012
Abstract: Building on results of Clemens and Kley, we find criteria for a continuous family of curves in a nodal K-trivial threefold Y<subscript>0</subscript>to deform to a scheme of finitely many smooth isolated curves in a general deformation Yt of Y<subscript>0</subscript>. As an application, we show the existence of smooth isolated curves of bounded genera and unbounded degrees in Calabi-Yau complete intersection threefolds. [ABSTRACT FROM AUTHOR]

Subjects :: SMOOTHNESS of functions
ALGEBRAIC curves
CALABI-Yau manifolds
INTERSECTION theory
MANIFOLDS (Mathematics)
HILBERT space
MATHEMATICAL singularities

Full Text Access

Tools