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Algebraic hypersurfaces

Name: Algebraic hypersurfaces
Creator: Kollár, János
Keywords: Mathematics - Algebraic Geometry, Mathematics - History and Overview, History and Overview (math.HO), 0103 physical sciences, FOS: Mathematics, 0101 mathematics, Algebraic Geometry (math.AG), 01 natural sciences

descriptionPublicationkeyboard_double_arrow_right Article , Preprint 28 Jan 2019Embargo end date: 01 Jan 2018Publisher:American Mathematical Society (AMS)Journal:Bulletin of the American Mathematical Society, volume 56, pages 543-568 (issn: 0273-0979, eissn: 1088-9485,

Authors: Kollár, János;

doi: 10.1090/bull/1663 , 10.48550/arxiv.1810.02861

arXiv: http://arxiv.org/abs/1810.02861

Algebraic hypersurfaces

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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.

Related Organizations

College of New Jersey
United States

Keywords

Mathematics - Algebraic Geometry, Mathematics - History and Overview, History and Overview (math.HO), FOS: Mathematics, Algebraic Geometry (math.AG)

Impact byBIP!

	citations This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	8
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Top 10%
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average