Curves, Jacobians, and Abelian Varieties

Donate to arXiv
Free download. Book file PDF easily for everyone and every device. You can download and read online Curves, Jacobians, and Abelian Varieties file PDF Book only if you are registered here. And also you can download or read online all Book PDF file that related with Curves, Jacobians, and Abelian Varieties book. Happy reading Curves, Jacobians, and Abelian Varieties Bookeveryone. Download file Free Book PDF Curves, Jacobians, and Abelian Varieties at Complete PDF Library. This Book have some digital formats such us :paperbook, ebook, kindle, epub, fb2 and another formats. Here is The CompletePDF Book Library. It's free to register here to get Book file PDF Curves, Jacobians, and Abelian Varieties Pocket Guide.

New directions in cryptography Whitfield Diffie , Martin E.

David Mumford

Constructing public-key cryptographic schemes based on class group action on a set of isogenous elliptic curves Anton Stolbunov. Computing heights on weighted projective spaces Jorgo Mandili , Tony Shaska.

Locally Symmetric Families of Curves and Jacobians

Weighted projective space of binary sextics. Beshaj , S.

  • Curves, Jacobians, and Abelian Varieties?
  • [] Curves, Jacobians, and Cryptography;
  • Essentials of Autopsy Practice: New Advances, Trends and Developments.

Computing the geometric endomorphism ring of a genus-2 Jacobian Davide Lombardo. Related Papers. By clicking accept or continuing to use the site, you agree to the terms outlined in our Privacy Policy , Terms of Service , and Dataset License.

  • Jacobians and Abelian Varieties | SpringerLink.
  • Smalltalk Best Practice Patterns.
  • What it is about?
  • Abstract and Explicit Constructions of Jacobian Varieties.

Mathematics Stack Exchange is a question and answer site for people studying math at any level and professionals in related fields. It only takes a minute to sign up. What is the reasoning behind this statement?

I did find a paper which had a generalization of the Torelli theorem i. Even with this, I guess it doesn't really finish the question since there are a lot of principally polarized abelian varieties that aren't isomorphic or even isogenous to a Jacobian.

Navigation menu

Is there a simpler reason why the statement should be true? If so, how should I think about this? Also, does paper mentioned above actually apply to the situation that I'm thinking about?

Math 679 / Lecture 4: Abelian varieties (algebraic theory)

Update : It should be made clear that we are probably taking the product polarization of the product of principally polarized abelian varieties mentioned in the old MSE question. Otherwise, it may be possible to get a Jacobian which is isomorphic to a product of Jacobians.

Search UWSpace

Unable to display preview. By using our site, you acknowledge that you have read and understand our Cookie Policy , Privacy Policy , and our Terms of Service. Ordering on the AMS Bookstore is limited to individuals for personal use only. Research Letters 3 , — See our librarian page for additional eBook ordering options. The conference explored various aspects of the Schottky problem of characterizing Jacobians of curves among all abelian varieties. Borel and G.

This still doesn't explain why arbitrary products of principally polarized abelian varieties with the product polarization would be bad. Sign up to join this community. The best answers are voted up and rise to the top.

  • Brilliant Fun 1 Teachers Book;
  • Man at play.
  • Curves, Jacobians, and Abelian Varieties.

Home Questions Tags Users Unanswered. Jacobians of curves and products of abelian varieties Ask Question.