Mathematical Society of Japan Memoirs

Chapter 2. Restriction theorems and boundedness

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Abstract

Is the semi-stability preserved when we make the restriction of a semi-stable sheaf to a hyperplane section? We have to, of course, put some conditions on semistable sheaves and hyperplanes. What kind of conditions then? We shall show here several types of restriction theorems and apply them to proving results on boundedness of semi-stable sheaves.

Chapter information

Source
Masaki Maruyama,Moduli spaces of stable sheaves on schemes (Tokyo: The Mathematical Society of Japan, 2016), 24-80

Dates
First available in Project Euclid: 1 July 2016

Permanent link to this document
https://projecteuclid.org/euclid.msjm/1467400249

Digital Object Identifier
doi:10.2969/msjmemoirs/03301C020

Rights
Copyright © 2016, The Mathematical Society of Japan

Citation

Maruyama, Masaki. Chapter 2. Restriction theorems and boundedness. Moduli spaces of stable sheaves on schemes, 24--80, The Mathematical Society of Japan, Tokyo, Japan, 2016. doi:10.2969/msjmemoirs/03301C020. https://projecteuclid.org/euclid.msjm/1467400249


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