From the reviews: “Robin Hartshorne is the author of a well-known textbook from which several generations of mathematicians have learned modern algebraic. In the fall semester of I gave a course on deformation theory at Berkeley. My goal was to understand completely Grothendieck’s local. I agree. Thanks for discovering the error. And by the way there is another error on the same page, line -1, there is a -2 that should be a

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## Seminar on deformations and moduli spaces in algebraic geometry and applications

Robin Hartshorne 2. All the lectures seems to be very abstract to me. Post as a guest Name. May be I am missing some points for understanding.

I have tried reading few lecture notes, for example: The intuition is that we want to study the infinitesimal structure of some moduli space around a point where hartshonre above that point is the space of interest. Now you can already see the relation to moduli: In a “neighborhood” of this member of the family, all other curves are smooth conics, so when we stare at this unique, very special singular conic, the natural question arises: Sign theiry or log in Sign up using Google.

Spencerafter deformation techniques had received a great deal of more tentative application in the Italian school of algebraic geometry.

### Deformation Theory – Robin Hartshorne – Google Books

Symp on Algebraic Geometry by C. Thanks for discovering the error. A simple application of this is that we can find the derivatives of monomials using infinitesimals:. Sign up using Facebook.

## Deformation theory

Mathematics Stack Exchange works best with JavaScript enabled. Dori Bejleri 3, 1 11 Brenin I have now some idea about deformation. For example, in the hzrtshorne of numbers a class of results called isolation theorems was recognised, with the topological interpretation of an open orbit of a group action around a given solution.

Brenin 8, 3 15 Now let me tell you something very naive.

### Seminar on deformations and moduli spaces in algebraic geometry and applications

It is typically the case that it is easier to described the functor for a moduli problem instead of finding hartshorbe actual space. It’s not in the link I gave above. Home Questions Tags Users Unanswered. Sign up using Facebook.

If we have a Galois representation. By using this site, you agree to the Terms of Use and Privacy Policy. The existence and the properties of deformations of C require arguments from theorg theory and a reduction to positive characteristic. There was also an MSRI workshop some years ago; I think the videos are still online and there is a draft of a book written by the organizers floating around the web. This page was last edited on 31 Octoberat That formulation is false.

I came across these words while studying these papers a Desingularization of moduli varities for vector bundles on curves, Int. By using our site, you acknowledge that you have read and understand our Cookie PolicyPrivacy Policyand our Terms of Service.

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Why on earth should we care about fat points? Sign up using Email and Password. It allows us to answer the question: So it turns out that to deform yourself means to choose a tangent direction on the sphere.

For genus 1, an elliptic curve has a one-parameter family of complex structures, as shown in elliptic function theory.

Infinitesimals can gartshorne made rigorous using nilpotent elements in local artin algebras. Sign up using Email and Password. So the upshot is: From Wikipedia, the free encyclopedia.