Covering gonalities of complete intersections in positive characteristic

نویسندگان

چکیده

We define the covering gonality and separable of varieties over arbitrary fields, generalizing definition given by Bastianelli-de Poi-Ein-Lazarsfeld-Ullery for complex varieties. show that an field a smooth multidegree $(d_1,\ldots,d_k)$ complete intersection in $\mathbb{P}^N$ has at least $d-N+1$, where $d=d_1+\cdots+d_k$. also very general such variety $\frac{d-N+2}{2}$.

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ژورنال

عنوان ژورنال: Algebra & Number Theory

سال: 2022

ISSN: ['1944-7833', '1937-0652']

DOI: https://doi.org/10.2140/ant.2022.16.731