Titlebook: Algorithmic Algebra and Number Theory; Selected Papers From B. Heinrich Matzat,Gert-Martin Greuel,Gerhard Hiss Conference proceedings 1999

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https://doi.org/10.1007/978-3-8350-5468-4We consider polynomials and rational functions which are invariant under the action of a finite linear group. The aim is to give a survey over the knowledge on some structural properties of such rings and fields of invariants. Particular emphasis lies on the modular case, where the characteristic of the ground field divides the group order.

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Local and Global Ramification Properties of Elliptic CurvesAs is well-known, the arithmetic of elliptic curves E in characteristics two and three shows some special features peculiar to these characteristics.

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A Gross-Zagier Formula for Function FieldsIn their famous article [.], Gross and Zagier proved a formula relating heights of Heegner points on modular curves and derivatives of L-series of cusp forms.

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