The n-Category Café
A group blog on math, physics and philosophy.
- Roughly two posts per week
- First post on
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| Feb 2023 | 4 |
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| May 2023 | 5 |
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Most recent posts
The Eisenstein integers 𝔼\mathbb{E} are the complex numbers of the form a+bωa + b \omega where aa and bb are integers and ω=exp(2πi/3)\omega = \exp(2 \pi i/3). They form a subring of the complex numbers …
Last time I introduced a 2-dimensional complex variety called the Eisenstein surface E=ℂ/𝔼×ℂ/𝔼 E = \mathbb{C}/\mathbb{E} \times \mathbb{C}/\mathbb{E} where 𝔼⊂ℂ\mathbb{E} \subset \mathbb{C} is the lattice of Eisenstein integers. We worked out the Néron–Severi group NS(E)\mathrm{NS}(E) …
You thought this series was dead. But it was only dormant! In Part 1, I explained how the classification of holomorphic line bundles on a complex torus XX breaks into two parts: the ‘discrete part’: …