Singularities of moduli spaces of vector bundles over curves in characteristic \(0\) and \(p\)
type: Item
instance of: scholarly article
title: Singularities of moduli spaces of vector bundles over curves in characteristic \(0\) and \(p\)
zbMATH Open document ID: 1181.14037
author: T. E. Venkata Balaji
author: Vikram B. Mehta
published in: Michigan Mathematical Journal
publication date: 2009-09-17T00:00:00Z
review text: Let \(X\) be a nonsingular projective curve over an algebraically closed field \(k\) of any characteristic. The authors consider a family of nonsingular curves \(X_W \to \text{Spec}\,W\) of genus \(g \geq 2,\) over the spectrum of the ring \(W\) of Witt vectors over \(k\) of characteristic \(p\), and relative moduli spaces \(U_W\) of (semi)stable bundles with fixed Hilbert polynomial. They investigate the specialization of \(U_W\)'s from characteristic \(0\) to characteristic \(p\). They also discuss types of singularities of these spaces.
Mathematics Subject Classification ID: 14H60
Mathematics Subject Classification ID: 14D20
Mathematics Subject Classification ID: 13A50
zbMATH DE Number: 5604518
zbMATH Keywords: nonsingular projective curve
zbMATH Keywords: semistable vector bundles
zbMATH Keywords: moduli space
zbMATH Keywords: characteristic \(p\)
reviewed by: Nadezda Timofeeva
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1307/mmj/1220879395
OpenAlex ID: W2028781936
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DOI: 10.1307/MMJ/1220879395
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description: scientific article; zbMATH DE number 5604518