arithmetic surface造句
例句與造句
- Arakelov's intersection theory for arithmetic surfaces was developed further by.
- Congruence covers of arithmetic surfaces are known to give rise to surfaces with large injectivity radius.
- In this context Bost obtains an arithmetic Hodge index theorem and uses this to obtain Lefschetz theorems for arithmetic surfaces.
- Resolution of singularities has also been shown for all excellent 2-dimensional schemes ( including all arithmetic surfaces ) by.
- It is possible to give a formula for the volume of distinguished arithmetic surfaces from the arithmetic data with which it was constructed.
- It's difficult to find arithmetic surface in a sentence. 用arithmetic surface造句挺難的
- developed a more general framework to define the intersection pairing defined on an arithmetic surface over the spectrum of a ring of integers by Arakelov.
- In the case of an arithmetic surface whose fundamental group is commensurable with a Fuchsian group derived from a quaternion algebra over a number field F the invariant trace field equals F.
- Ogg's original proof used a lot of case by case checking, especially in characteristics 2 and 3 . gave a uniform proof and generalized Ogg's formula to more general arithmetic surfaces.
- The fact that for arithmetic surfaces the arithmetic data determines the spectrum of the Laplace operator \ Delta was pointed out by M . F . Vign閞as and used by her to construct examples of isospectral compact hyperbolic surfaces.
- One can give an effective description of the set of such curves in an arithmetic surface or three manifold : they correspond to certain units in certain quadratic extensions of the base field ( the description is lengthy and shall not be given in full here ).