In this paper we show that the divisor in given by couples, where C is a curve of genus 4 with a vanishing theta-null and θ is an ineffective theta-characteristic, is a rational variety. Actually we first show that for g = 4, the corresponding theta-null Prym divisor in is rational.
The rationality of ineffective spin genus-4 theta-null loci
Zucconi F.
2025-01-01
Abstract
In this paper we show that the divisor in given by couples, where C is a curve of genus 4 with a vanishing theta-null and θ is an ineffective theta-characteristic, is a rational variety. Actually we first show that for g = 4, the corresponding theta-null Prym divisor in is rational.File in questo prodotto:
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