Equivariant Riemann¨CRoch theorems for curves over perfect fields

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• 作者：Helena Fischbacher-Weitz and Bernhard K?ck
• 关键词：Mathematics Subject Classification (2000) 14H30 ; 14G27 ; 11R32
• 刊名：manuscripta mathematica
• 出版年：2009
• 出版时间：January, 2009
• 年：2009
• 卷：128
• 期：1
• 页码：89-105
• 全文大小：230.8 KB

文摘

We prove an equivariant Riemann–Roch formula for divisors on algebraic curves over perfect fields. By reduction to the known case of curves over algebraically closed fields, we first show a preliminary formula with coefficients in \mathbbQ{\mathbb{Q}} . We then prove and shed some further light on a divisibility result that yields a formula with integral coefficients. Moreover, we give variants of the main theorem for equivariant locally free sheaves of higher rank.