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Questions tagged [picard-scheme]

In algebraic geometry, the scheme that represents the Picard functor and the natural generalisation of the Picard variety for a given algebraic variety to the theory of schemes. If your question is not about algebraic or arithmetic geometry, then this is likely not the right tag to use.

STUB: someone more knowledgeable please edit!

References:

Springer EOM

nLab

43 questions
2
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1 answer

Picard's iteration method

I want to find a series of functions converging to the solution of $$\frac{dy}{dx}=\frac{x^2}{y^2+1},y(0)=0$$. I am stuck using picard's iteration method First iteration: $$y_1 = \frac{x^3}{3}$$ Second iteration: $$y_1 = \arctan \frac{x^3}{3}$$…
Waseem Khan
  • 21
0
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The sheafification of the relative Picard functor

In the proof for the second part of theorem 2.5 found in Kleiman's paper https://arxiv.org/pdf/math/0504020.pdf, he claimed that any $\lambda\in \text{Pic}_{(X/S)(\text{fppf})}(T)$ can be represented by an invertible sheaf…
chi-yu Cheng
  • 116