### About this blog

Rigorous trivialities is a web log about mathematics, but especially geometry, broadly construed. Contributors will be Charles Siegel, Jim Stankewicz and occasionally Matt Deland. Charles specializes in algebraic geometry, topology and mathematical physics. Jim specializes in arithmetic algebraic geometry. Matt has transitioned from algebraic geometry to work in industry.

Header is taken from the larger work by fdecomite under the creative commons license.

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- Abelian Varieties AG From the Beginning Algebraic Geometry Algebraic Topology Big Theorems Cohomology Combinatorics Complex Analysis Computational Methods Conferences Cranks Curves Deformation Theory Differential Geometry Enumerative Geometry Examples Group Theory Hilbert Scheme Hodge Theory ICTP Summer School Intersection Theory Knot Theory MaBloWriMo Math Culture Mathematical Physics Moduli of Curves Talks Toric Geometry Uncategorized Vector Bundles
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### Top Posts & Pages

- AG from the Beginning
- The Veronese Embedding
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- The Chow Ring and Chern Classes
- The Grothendieck-Riemann-Roch Theorem, Stated
- Direct Image Sheaves Under Proper Maps
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- Canonical Linear Systems
- Riemann-Roch Theorem for Curves
- The Twenty-Seven Lines on the Cubic Surface

# Monthly Archives: June 2008

## Stealing an idea

Ok, I’m stealing this idea from the Secret Blogging Seminar where they created a suggestions page. So I’m doing that. Check the pages to the right.

Posted in Uncategorized
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## Quick Question for the readers…

Does anyone have a good, easily available reference for Hitchin systems, in particular ones with marked points? I need to get a feel for them in a hurry…any help at all would be appreciated.

Posted in Algebraic Geometry
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## The Twenty-Seven Lines on the Cubic Surface

Ok, I just came across this proof, and it’s so cool I have to blog about it. This is not related to my ongoing series, nor is this anything to do with the conference I’m at (I won’t be blogging … Continue reading

## Apologies

Ok, my plans to post regularly seem to have died a horrible, horrible death as I begin studying for orals in earnest and preparing to head to a conference. Thus, I’m just giving up. Don’t expect much for the rest … Continue reading

Posted in Uncategorized
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## Riemann-Roch Theorem for Curves

Today we’re going after one of the most famous theorems of algebraic geometry: the Riemann-Roch Theorem. For it, we depart the world of general schemes and return to varieties. And not just any varieties, but nonsingular complete curves.