Two remarks on subvarieties of moduli spaces

Kirti Joshi

doi:10.1142/S0129167X08004649

Two remarks on subvarieties of moduli spaces

Kirti Joshi

Mathematics

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1 Scopus citations

Abstract

We study two natural questions about subvarieties of moduli spaces. In the first section, we study the locus of curves equipped with F-nilpotent bundles and its relationship to the p-rank zero locus of the moduli space of curves of genus g. In the second section, we study subvarieties of moduli spaces of vector bundles on curves. We prove an analogue of a result of F. Oort about proper subvarieties of moduli of abelian varieties.

Original language	English (US)
Pages (from-to)	237-243
Number of pages	7
Journal	International Journal of Mathematics
Volume	19
Issue number	2
DOIs	https://doi.org/10.1142/S0129167X08004649
State	Published - Feb 2008

Keywords

Moduli of vector bundles
Vector bundles on curves

ASJC Scopus subject areas

General Mathematics

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10.1142/S0129167X08004649

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AB - We study two natural questions about subvarieties of moduli spaces. In the first section, we study the locus of curves equipped with F-nilpotent bundles and its relationship to the p-rank zero locus of the moduli space of curves of genus g. In the second section, we study subvarieties of moduli spaces of vector bundles on curves. We prove an analogue of a result of F. Oort about proper subvarieties of moduli of abelian varieties.

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KW - Vector bundles on curves

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Two remarks on subvarieties of moduli spaces

Abstract

Keywords

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