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Funktsional'nyi Analiz i ego Prilozheniya, 2012, Volume 46, Issue 2, Pages 37–51
DOI: https://doi.org/10.4213/faa3066 (Mi faa3066) 		 
This article is cited in 5 scientific papers (total in 6 papers)

Real Normalized Differentials and Arbarello's Conjecture

I. M. Kricheverabc

a A. A. Kharkevich Institute for Information Transmission Problems, Russian Academy of Sciences, Moscow
b Columbia University
c L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
Full-text PDF (239 kB) Citations (6) English version article
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DOI: https://doi.org/10.4213/faa3066
Abstract: Using meromorphic differentials with real periods, we prove Arbarello's conjecture that any compact complex cycle of dimension $g-n$ in the moduli space $\mathcal{M}_g$ of smooth algebraic curves of genus $g$ must intersect the locus of curves having a Weierstrass point of order at most $n$.
Keywords: moduli space of algebraic curves, integrable system, real normalized differential.
Received: 16.01.2012
English version:
Functional Analysis and Its Applications, 2012, Volume 46, Issue 2, Pages 110–120
DOI: https://doi.org/10.1007/s10688-012-0017-1
Bibliographic databases:
Document Type: Article
UDC: 512.732+517.9
Language: Russian
Citation: I. M. Krichever, “Real Normalized Differentials and Arbarello's Conjecture”, Funktsional. Anal. i Prilozhen., 46:2 (2012), 37–51; Funct. Anal. Appl., 46:2 (2012), 110–120
Citation in format AMSBIB
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    • This publication is cited in the following 6 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Функциональный анализ и его приложения Functional Analysis and Its Applications
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