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Bulletin of the American Mathematical Society

Published by the American Mathematical Society, the Bulletin of the American Mathematical Society (BULL) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

ISSN 1088-9485 (online) ISSN 0273-0979 (print)

The 2020 MCQ for Bulletin of the American Mathematical Society is 0.47.

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Algebraic hypersurfaces
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by János Kollár PDF
Bull. Amer. Math. Soc. 56 (2019), 543-568 Request permission

Abstract:

We give an introduction to the study of algebraic hypersurfaces, focusing on the problem of when two hypersurfaces are isomorphic or close to being isomorphic. Working with hypersurfaces and emphasizing examples makes it possible to discuss these questions without any previous knowledge of algebraic geometry. At the end we formulate the main recent results and state the most important open questions.
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Additional Information
  • János Kollár
  • Affiliation: Department of Mathematics, Princeton University, Princeton, New Jersey 08544-1000
  • MR Author ID: 104280
  • Email: kollar@math.princeton.edu
  • Received by editor(s): May 29, 2018
  • Published electronically: January 28, 2019
  • Additional Notes: Partial financial support was provided by the NSF under grant number DMS-1362960 and by the Nemmers Prize of Northwestern University.
  • © Copyright 2019 American Mathematical Society
  • Journal: Bull. Amer. Math. Soc. 56 (2019), 543-568
  • MSC (2010): Primary 14-02, 14J70; Secondary 14M20, 14E08, 14N25
  • DOI: https://doi.org/10.1090/bull/1663
  • MathSciNet review: 4007161