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Results tagged with algebraic-surfaces
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user 3377
An algebraic surface is an algebraic variety of dimension two. In the case of geometry over the field of complex numbers, an algebraic surface has complex dimension two (as a complex manifold, when it is non-singular) and so of dimension four as a smooth manifold.
1
vote
Different algebraic structures on complements to divisors
Do you know other examples of non-isomorphic algebraic
structures on complements to square-zero curves
The easiest example is
the twisted cotangent bundle to an elliptic curve.
This space can be rea …
- 9,237
6
votes
Accepted
Dual of a Complex 2-Torus
For non-algebraic tori, $T$ and $T^*$ are (usually) not isomorphic; for algebraic ones, they are isogeneous, and for the principally polarized abelian varieties, $T$ and $T^*$ are isomorphic.
This i …
- 9,237