Blogs about: Big Theorems
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B-N-R Part 5: Spectral Curves
Today we’re back to some material from the first post in this series, and going to prove an actual theorem about vector bundles. Next time, we’ll be getting into the heart of the paper, a… more →
Rigorous Trivialities
B-N-R Part 5: Spectral Curves
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Charles Siegel wrote 2 months ago: Today we’re back to some material from the first post in this series, and going to prove an ac … more →
B-N-R Part 4: Prym Varieties
Charles Siegel wrote 2 months ago: The last post was on the generalities of Abelian varieties, and constructing a map. This time, we … more →
B-N-R Part 3: PPAV's and some details
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Charles Siegel wrote 2 months ago: Now, we continue our tour through Beauville, Narasimhan, Ramanan. We’ve talked about Twisted … more →
B-N-R Part 2: Moduli of Vector Bundles
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Charles Siegel wrote 3 months ago: Last time, we talked about twisted endomorphisms. Now, we’re moving on to the second paragrap … more →
B-N-R Part 1: Twisted Endomorphisms
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Charles Siegel wrote 3 months ago: Alright, I’m back, and newly married (thus the long hiatus from posting). And now it’s … more →
The Grothendieck-Riemann-Roch Theorem, a proof-sketch
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Matt DeLand wrote 6 months ago: By this time I’m sure everyone whose curiousity was piqued by the statement of the Grothendiec … more →
The Grothendieck-Riemann-Roch Theorem, Stated
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Matt DeLand wrote 8 months ago: Suppose you have a proper map between smooth (quasi) projective varieties. Then suppose you have a … more →
Deligne and Mumford on the Moduli of Curves
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Charles Siegel wrote 9 months ago: Today I’m going to talk a bit about an important paper from 1969. This one. It’s a bit … more →
Kontsevich's Formula
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Charles Siegel wrote 11 months ago: This is my last post of 2008, so happy holidays to everyone!. This one shouldn’t take too long … more →
Request: Projective Elimination Theory
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Charles Siegel wrote 1 year ago: We talked before about elimination theory, doing it entirely in the affine case. The question was as … more →
Hurwitz's Theorem on Automorphisms
Charles Siegel wrote 1 year ago: This is this blog’s 100th post. Now, not quite my hundredth, nor nearly the hundredth with act … more →
Hurwitz's Theorem
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Charles Siegel wrote 1 year ago: Ok, back to curves. We’d wandered a bit in the direction of this topic before, having discusse … more →
Elimination and Extension Theorems
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Charles Siegel wrote 1 year ago: Last time we talked about Groebner bases and Buchberger’s algorithm, so today we’ll do a … more →
Groebner Bases and Buchberger's Algorithm
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Charles Siegel wrote 1 year ago: After all that technical work and careful but rather abstract technique developed for the constructi … more →
Nakayama's Lemma
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Charles Siegel wrote 1 year ago: I promised a minipost on Nakayama when I talked about Flattening Stratifications, and I’ve got … more →
Bertini's Theorem
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Charles Siegel wrote 1 year ago: Today we’re going to prove a theorem of Bertini’s. Next time, we’ll focus on using … more →
Riemann-Roch Theorem for Curves
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Charles Siegel wrote 1 year ago: Today we’re going after one of the most famous theorems of algebraic geometry: the Riemann-Roc … more →
Serre Duality
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Charles Siegel wrote 1 year ago: Sorry that this one is late, things are going to continue to be hit-or-miss through June, though hop … more →
Complete Varieties and Chow's Lemma
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Charles Siegel wrote 1 year ago: First off, I’d like to make a correction to the definition of an abstract variety: we’re … more →
