Blogs about: Big Theorems
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Monodromy and Moduli
Today, we’re going to prove a BIG theorem, but only in the characteristic zero case (we’ll be working over as usual). The theorem is rather tough, and to do it in positive characteristics … more →
Rigorous Trivialities
Monodromy and Moduli
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wrote 2 years ago: Today, we’re going to prove a BIG theorem, but only in the characteristic zero case (we’ … more →
B-N-R Part 5: Spectral Curves
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wrote 2 years 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
wrote 2 years 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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wrote 2 years 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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wrote 2 years 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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wrote 2 years 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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wrote 2 years 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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wrote 3 years 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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wrote 3 years 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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wrote 3 years 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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wrote 3 years ago: We talked before about elimination theory, doing it entirely in the affine case. The question was as … more →
Hurwitz's Theorem on Automorphisms
wrote 3 years 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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wrote 3 years 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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wrote 3 years 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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wrote 3 years ago: After all that technical work and careful but rather abstract technique developed for the constructi … more →
Nakayama's Lemma
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wrote 3 years 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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wrote 3 years 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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wrote 3 years 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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wrote 3 years ago: Sorry that this one is late, things are going to continue to be hit-or-miss through June, though hop … more →
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