Showing papers on "Calabi conjecture published in 1994"
TL;DR: In this article, a list of Calabi-Yau manifolds realized as complete intersections of polynomials in Cartesian products of complex projective spaces is presented, containing 97,360 configurations with Euler numbers ranging from 0 to −200.
Abstract: We have obtained a new list of Calabi-Yau manifolds realized as complete intersections of polynomials in Cartesian products of complex projective spaces. It contains 97,360 configurations with Euler numbers ranging from 0 to −200. A remarkable structure emerges from this compilation.
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TL;DR: In this article, an elliptic complex Monge-Ampere operator between suitable Frechet spaces of smooth functions vanishing at infinity has been proposed to prove Calabi's conjecture on complete non-compact Kahler manifolds.
Abstract: An analogue of Calabi's conjecture was posed on a class of complete noncompact Kahler manifolds [5], then solved on the simplest of them, the complex n-space with n > 2 [9]. Here we prove the conjecture in its full generality, by inverting an elliptic complex Monge-Ampere operator between suitable Frechet spaces of smooth functions vanishing at infinity. A priori estimates benefit from recent simplifications of [2].