Elliptic genus of Calabi–Yau manifolds and Jacobi and Siegel modular forms
V. Gritsenko

Эта публикация цитируется в следующих статьяx:

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3. Adler D., Gritsenko V., “The D-8-Tower of Weak Jacobi Forms and Applications”, J. Geom. Phys., 150 (2020), 103616    
4. Gritsenko V., Wang H., “Graded Rings of Integral Jacobi Forms”, J. Number Theory, 214 (2020), 382–398    
5. Mocanu A., “Poincare and Eisenstein Series For Jacobi Forms of Lattice Index”, J. Number Theory, 204 (2019), 296–333    
6. Libgober A., “Elliptic Genus of Singular Algebraic Varieties and Quotients”, J. Phys. A-Math. Theor., 51:7 (2018), 073001          
7. Gritsenko V., Wang H., “Powers of Jacobi Triple Product, Cohen'S Numbers and the Ramanujan Delta-Function”, Eur. J. Math., 4:2 (2018), 561–584          
8. В. А. Гриценко, “Рефлективные модулярные формы и их приложения”, УМН, 73:5(443) (2018), 53–122            ; V. A. Gritsenko, “Reflective modular forms and applications”, Russian Math. Surveys, 73:5 (2018), 797–864    
9. Belin A., Castro A., Gomes J., Keller Ch.A., “Siegel Paramodular Forms and Sparseness in Ads(3)/Cft2”, J. High Energy Phys., 2018, no. 11, 037        
10. Wong K., “Quarter-Bps States in Orbifold SIGMA Models With Ade Singularities”, J. High Energy Phys., 2017, no. 6, 116          
11. Belin A., Castro A., Gomes J., Keller Ch.A., “Siegel Modular Forms and Black Hole Entropy”, J. High Energy Phys., 2017, no. 4, 057        
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15. Cheng M.C.N., Duncan J.F.R., Harvey J.A., “Umbral Moonshine”, Commun. Number Theory Phys., 8:2 (2014), 101–242              
16. Keller Ch.A., Ooguri H., “Modular Constraints on Calabi-Yau Compactifications”, Commun. Math. Phys., 324:1 (2013), 107–127            
17. Clery F. Gritsenko V., “Modular Forms of Orthogonal Type and Jacobi Theta-Series”, Abh. Math. Semin. Univ. Hamburg, 83:2 (2013), 187–217          
18. Govindarajan S., “Unravelling Mathieu Moonshine”, Nucl. Phys. B, 864:3 (2012), 823–839              
19. Eguchi T., Hikami K., “Twisted Elliptic Genus for K3 and Borcherds Product”, Lett. Math. Phys., 102:2 (2012), 203–222              
20. Cheng M.C.N., Duncan J.F.R., “The Largest Mathieu Group and (Mock) Automorphic Forms”, String-Math 2011, Proceedings of Symposia in Pure Mathematics, 85, eds. Block J., Distler J., Donagi R., Sharpe E., Amer Mathematical Soc, 2012, 53–82        
21. Clery F., Gritsenko V., “Siegel modular forms of genus 2 with the simplest divisor”, Proc London Math Soc, 102:6 (2011), 1024–1052            
22. Eguchi T., Hikami K., “N=4 superconformal algebra and the entropy of hyperKahler manifolds”, Journal of High Energy Physics, 2010, no. 2, 019          
23. Eguchi T., Hikami K., “N=2 Superconformal Algebra and the Entropy of Calabi-Yau Manifolds”, Letters in Mathematical Physics, 92:3 (2010), 269–297            
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28. Lee Min Ho, “Jacobi and modular forms on symmetric domains”, Rocky Mountain J. Math., 35:4 (2005), 1191–1204          
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32. В. А. Гриценко, В. В. Никулин, “О классификации лоренцевых алгебр Каца–Муди”, УМН, 57:5(347) (2002), 79–138          ; V. A. Gritsenko, V. V. Nikulin, “On classification of Lorentzian Kac–Moody algebras”, Russian Math. Surveys, 57:5 (2002), 921–979      
33. Lee Min Ho, “Jacobi-like forms and power series bundles”, Bull. Austral. Math. Soc., 66:2 (2002), 301–311        
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