<p>This paper is the first in a series dedicated to computing the integral Chow rings of the moduli stacks of Prym pairs. In this work, we compute the Chow ring for Prym pairs arising from a single pair of Weierstrass points and from at most <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\((g-1)/2\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mo stretchy="false">(</mo> <mi>g</mi> <mo>-</mo> <mn>1</mn> <mo stretchy="false">)</mo> <mo stretchy="false">/</mo> <mn>2</mn> </mrow> </math></EquationSource> </InlineEquation> pairs when the genus <i>g</i> of the curve is odd.</p>

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The integral Chow rings of the moduli stacks of hyperelliptic Prym pairs I

  • Alessio Cela,
  • Alberto Landi

摘要

This paper is the first in a series dedicated to computing the integral Chow rings of the moduli stacks of Prym pairs. In this work, we compute the Chow ring for Prym pairs arising from a single pair of Weierstrass points and from at most \((g-1)/2\) ( g - 1 ) / 2 pairs when the genus g of the curve is odd.