"variety" nach Englisch mit Beispielen - Kollokationen-Wörterbuch Englisch
- One example is the close relationship between homogeneous polynomials and projective varieties.
- A cubic surface is a projective variety studied in algebraic geometry.
- This is because only the constants are globally regular functions on a projective variety.
- Some properties of a projective variety follow from completeness.
- For example, if X is a projective variety over k, then .
- Next, one can define projective and quasi-projective varieties in a similar way.
- Every projective variety is complete, but not vice versa.
- So, for the purposes of birational classification, we can work only with projective varieties, and this is usually the most convenient setting.
- This is important to know, but it can still be very hard to determine whether two smooth projective varieties are birational.
- This is a property shared by sufficiently positive embeddings of any projective variety.
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