Ramsey
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Registered User
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I'm interested in $p$-adic properties of modular forms and special values of their $L$-functions. Recently, I've thought a bit about Euclidean rings and Euclidean ideals.
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Apr 25 |
awarded | ● Necromancer |
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Feb 22 |
revised |
Understanding Adjointness of Sheaves in Algebraic Geometry deleted 40 characters in body |
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Feb 22 |
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Understanding Adjointness of Sheaves in Algebraic Geometry Oy. I was thinking about finite maps. I'm going to edit. |
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Feb 22 |
answered | Understanding Adjointness of Sheaves in Algebraic Geometry |
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Feb 8 |
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How do you pronounce “Hartshorne”? I once heard somebody quip that the man's name is pronounced "Hart's Horn" but the book is pronounced "Hart Shorn." |
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Jan 25 |
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Constructible topology on schemes I don't know if this question will survive, but I'll admit that, as a non-expert who's never really had occasion to work with constructible sets, this is something I've been idly curious about on a handful of occasions. I'd like to hear the short version of why they're useful and maybe see a quick example or two. |
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Jan 18 |
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Variant of Leopoldt’s conjecture I think what David meant was that CM fields are characterized by the property that, under any embedding into the complex numbers, the image is preserved by complex conjugation and the resulting involution on the field is independent of the embedding. |
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Jan 17 |
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Variant of Leopoldt’s conjecture Curious: have you checked in any examples? |
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Jan 8 |
awarded | ● Yearling |
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Jan 6 |
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simpler way to define modular forms I don't think that I understand this. What is meant by "the true local coordinate at infinity"? As sections of powers of the usual sheaf $\omega$, Eisenstein series don't have poles at the cusps. Are you perhaps thinking of modular forms as differentials on the modular curve itself? The Kodaira-Spencer isomorphism identifies such regular differentials with weight $2$ cusp forms, and more generally weight two forms with differentials with at worst simple poles at the cusps. |
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Jan 2 |
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Elementary examples of the Weil conjectures I'm not sure if this is too elementary, but the case of elliptic curves can be worked out pretty concretely. Silverman does this in his first book on elliptic curves, for example. |
