Qihong Xie
Abstract
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We give a reduction of the irregular case for the effective non-vanishing conjecture by virtue of the Fourier-Mukai transform. As a consequence, we reprove that the effective non-vanishing conjecture holds on algebraic surfaces.
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We give a reduction of the irregular case for the effective non-vanishing conjecture by virtue of the Fourier-Mukai transform. As a consequence, we reprove that the effective non-vanishing conjecture holds on algebraic surfaces.
Key concepts: Conjecture, Mathematics, Pure mathematics, Algebraic number, Reduction (mathematics), Fourier transform, Algebra over a field, Mathematical analysis