Past exam of the mathematics course of the University of Cambridge / 2025 / iii / Paper 126 / 4 / i

Table of contents
- Solution i

Solution

The Theorem of the square states that for a line bundle

L

on an abelian variety

X

and

x, y \in X (k)

,

T_{x + y}^{*} L \otimes L ≅ T_{x}^{*} L \otimes T_{y}^{*} L .

Solved by gpt-5.6-sol high.

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