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SummaryViral diseases severely affect crop yield and quality, thereby threatening global food security. Genetic improvement of plant virus resistance is essential for sustainable agriculture. In the last decades, several modern technologies were applied in plant antiviral engineering. Here we summarized breakthroughs of the two major antiviral strategies, RNA silencing and genome editing. RNA silencing strategy has been used in antiviral breeding for more than thirty years, and many crops engineered to stably express small RNAs targeting various viruses have been approved for commercial release. Genome editing technology has emerged in the past decade, especially CRISPR/Cas, which provides new methods for genetic improvement of plant virus resistance and accelerates resistance breeding. Finally, we discuss the potential of these technologies for breeding crops, and the challenges and solutions they may face in the future.

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Introduction 1 1.1. Main result 1 1.2. Idea of the proof 2 2. Preliminaries 3 2.1. The reduction process 3 2.2. Numerical inequalities 4 3. Relative Noether inequality 6 4. Asymptotic behavior of cohomological dimensions 9 5. Proof of Theorem 1.1 11 References 12