Hodge and Frobenius colevels of algebraic varieties

2023/09/28 by Wan, Daqing, Zhang, Dingxin
#11M38 #14F20 #14G15 #32S35 #Algebraic Geometry (math.AG) #FOS: Mathematics #Number Theory (math.NT)

paper · doi:10.48550/arxiv.2309.16290

Abstract

We provide new, improved lower bounds for the Hodge and Frobenius colevels of algebraic varieties (over C or over a finite field) in all cohomological degrees. These bounds are expressed in terms of the dimension of the variety and multi-degrees of its defining equations. Our results lead to an enhanced positive answer to a question raised by Esnault and the first author.

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