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This article is cited in 3 scientific papers (total in 4 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
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
DOI:
https://doi.org/10.4213/faa3066
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English version:
Functional Analysis and Its Applications, 2012, 46:2, 110–120
Bibliographic databases:
    
UDC:
512.732+517.9
Received: 16.01.2012
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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http://mi.mathnet.ru/eng/faa3066https://doi.org/10.4213/faa3066 http://mi.mathnet.ru/eng/faa/v46/i2/p37
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A. G. Khovanskii, “On Algebraic Functions Integrable in Finite Terms”, Funct. Anal. Appl., 49:1 (2015), 50–56
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A. Y. Buryak, “New approaches to integrable hierarchies of topological type”, Russian Math. Surveys, 72:5 (2017), 841–887
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S. Grushevsky, I. M. Krichever, Ch. Norton, “Real-normalized differentials: limits on stable curves”, Russian Math. Surveys, 74:2 (2019), 265–324
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V. M. Buchstaber, A. N. Varchenko, A. P. Veselov, P. G. Grinevich, S. Grushevsky, S. Yu. Dobrokhotov, A. V. Zabrodin, A. V. Marshakov, A. E. Mironov, N. A. Nekrasov, S. P. Novikov, A. Yu. Okounkov, M. A. Olshanetsky, A. K. Pogrebkov, I. A. Taimanov, M. A. Tsfasman, L. O. Chekhov, O. K. Sheinman, S. B. Shlosman, “Igor' Moiseevich Krichever (on his 70th birthday)”, Russian Math. Surveys, 76:4 (2021), 733–743
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