### 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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### Top Posts & Pages

- AG from the Beginning
- The Segre Embedding
- Riemann-Roch Theorem for Curves
- The Grothendieck Group of Coherent Sheaves on a Variety
- Normalization and Normal Varieties
- Morphisms of Sheaves
- Tangent Spaces and Singular Points
- Request: Projective Elimination Theory
- The Chow Ring and Chern Classes
- Quadratic Differentials

# Monthly Archives: March 2008

## TeX Troubles

WordPress is giving me the same troubles it gave John earlier, so if you spot tex that has lost its backslashes, please let me know and I’ll correct the post.

Posted in Algebraic Geometry
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## This week

I won’t be posting much this week, unless I make an attempt at blogging about the Derived Categories conference at IAS in Princeton. Hopefully I’ll understand something (the first few talks have encouraging titles…the later ones, not so much.) Well, … Continue reading

Posted in Conferences
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## Abstract Varieties

Last time, we defined locally ringed spaces and I linked back to an old post where I defined the notion of an abstract variety. We’re going to talk about these objects a bit more today, including, in particular, checking that … Continue reading

Posted in AG From the Beginning, Algebraic Geometry
7 Comments

## Locally Ringed Spaces

Sorry about February, got rather caught up in schoolwork. My posts should resume, though still not with the frequency they used to. So, anyway, we now have sheaves and their morphisms, and even some morphisms that we get when we … Continue reading

Posted in AG From the Beginning, Algebraic Geometry
2 Comments