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A simplicial calculus for local intersection numbers at non-archimedian places on products of semi-stable curves

Kolb, Johannes



Abstract

We analyse the subring of the Chow ring with support generated by the irreducible components of the special fibre of the Gross-Schoen desingularization of a d-fold self product of a semi-stable curve over the spectrum of a discrete valuation ring. For this purpose we develop a calculus which allows to determine intersection numbers in the special fibre explicitly. As input our simplicial calculus ...

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