2003arXiv (Cornell University)Open access

Orbifold Riemann-Roch for threefolds with an application to Calabi-Yau\n geometry

Anita Buckley, Balázs Szendröi

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Abstract

We prove an orbifold Riemann--Roch formula for a polarized 3--fold (X,D). As\nan application, we construct new families of projective Calabi--Yau threefolds.\n

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We prove an orbifold Riemann--Roch formula for a polarized 3--fold (X,D). As\nan application, we construct new families of projective Calabi--Yau threefolds.\n

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Available abstract

We prove an orbifold Riemann--Roch formula for a polarized 3--fold (X,D). As\nan application, we construct new families of projective Calabi--Yau threefolds.\n

Key concepts: Orbifold, Calabi–Yau manifold, Mathematics, Pure mathematics, Riemann hypothesis, Geometry

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