Dieudonne

By Luc

This podcast is mainly created for personal use.... more

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How many episodes does Dieudonne have?

The podcast currently has 346 episodes available.

Dieudonne episodes:

September 05, 2023 Eg. 3.4 some examples of O_X(U)
Affine line; Spec Z; Spec Z[T]
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5min
September 05, 2023 Lemma3.3 Spec A with A integral domain; O_X(U) injective into O_X,ksi
In this case Spec A (A being integral domain) FracA is a constant sheaf. And O_X a subsheaf.
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6min
September 04, 2023 Def 3.2 define O_X by evaluating on D(f)
Affine scheme
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5min
September 04, 2023 Prop 2.24 closed immersion
Characterizes closed immersion
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9min
September 04, 2023 Def 2.19 ringed topological space; residue field k(x); local map
Def 2.22 open immersion
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8min
September 04, 2023 Lemma 2.16 stalk commutes with quotient and image (of sheaves)
Inverse image of a sheaf under the inclusion of an open is the same as restricting to that open.
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4min
September 04, 2023 Prop 2.12 iso iff stalk is iso
Define quotient sheaf; kernel; image of a map of sheaves.
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4min
September 04, 2023 Def 2.10 surjective of presheaf is defined on all stalk, not on sections
Surjective also means any t_x comes from some s in F(U) such that it is mapped to t_x.
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6min
September 04, 2023 Lemma2.9 stalk zero everywhere implies zero. Revisit direct limit
In Mod, it is the direct sum! Quotient equivalent relationship.
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7min
September 04, 2023 Rmk.2.6 a sheaf is completely determined by its section over a base of opens
Ex. B-sheaf F0 extends uniquely to a sheaf F on X. Rmk. Actually we only use that exact complex to define F(U) using F(U_i) with U_i in B; we didn’t give a proof of ex above.
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9min

FAQs about Dieudonne:

How many episodes does Dieudonne have?

The podcast currently has 346 episodes available.