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Algebraic varieties, stacks, sheaves, schemes, moduli spaces, complex geometry, quantum cohomology.

23 votes
4 answers
4k views

Conceptualizing Weil Pairing for elliptic curves ( and number fields)

There are two explanations in Silverman ( Arithmetic of Elliptic Curves), one in exercises developing the Weil reciprocity law ( for algebraic curves) and then generalizing, and then there is a differ …
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  • 419
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Cohomology with compact support for coherent sheaves on a scheme

If X is a smooth scheme over complex numbers then you can consider $X_{an}$ as an complex analytic manifold and compute singular/ deRham/ simplicial cohomology with compact supports (this will be dif …
isildur's user avatar
  • 419