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The relativistic $p$-adic sunscreen conjecture

Sean Howe

Abstract

We formulate a conjecture about intersections between the Banach-Colmez space $\mathrm{BC}(1/2)$ and germs of smooth rigid analytic curves at the origin in $\mathbb{A}^2_{\mathbb{C}_p}$

The relativistic $p$-adic sunscreen conjecture

Abstract

We formulate a conjecture about intersections between the Banach-Colmez space and germs of smooth rigid analytic curves at the origin in

Paper Structure

This paper contains 7 sections.

Table of Contents

  1. The conjecture
  2. $\mathrm{BC}(1/2)$ as $p$-adic sunscreen
  3. Relativistic accommodations
  4. Heuristic
  5. Immediate generalizations
  6. Why?
  7. Acknowledgements

Theorems & Definitions (2)

  • Conjecture : The relativistic $p$-adic sunscreen conjecture for $\mathrm{BC}(1/2)$
  • Example 1.2.1