V. A. Timorin, “The Mixed Hodge–Riemann Bilinear Relations in the Linear Situation”, Funktsional. Anal. i Prilozhen., 32:4 (1998), 63–68; Funct. Anal. Appl., 32:4 (1998), 268

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Funktsional'nyi Analiz i ego Prilozheniya, 1998, Volume 32, Issue 4, Pages 63–68
DOI: https://doi.org/10.4213/faa438 (Mi faa438)

This article is cited in 19 scientific papers (total in 19 papers)

The Mixed Hodge–Riemann Bilinear Relations in the Linear Situation

V. A. Timorin

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Full-text PDF (528 kB) Citations (19)

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DOI: https://doi.org/10.4213/faa438

Received: 27.01.1998

English version:
Functional Analysis and Its Applications, 1998, Volume 32, Issue 4, Pages 268–272
DOI: https://doi.org/10.1007/BF02463209

Bibliographic databases:

Document Type: Article

UDC: 512.647+514.177+515.165.4

Language: Russian

Citation: V. A. Timorin, “The Mixed Hodge–Riemann Bilinear Relations in the Linear Situation”, Funktsional. Anal. i Prilozhen., 32:4 (1998), 63–68; Funct. Anal. Appl., 32:4 (1998), 268–272

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa438

https://doi.org/10.4213/faa438

https://www.mathnet.ru/eng/faa/v32/i4/p63

This publication is cited in the following 19 articles:

Xuemiao Chen, “Admissible Hermitian–Yang–Mills connections over normal varieties”, Math. Ann., 2025
Zeng Chen, Guanxiang Wang, “A vector bundle valued mixed hard Lefschetz theorem”, Acta Math Sci, 45:2 (2025), 514
Yashan Zhang, “A note on Teissier problem for nef classes”, Proc. Amer. Math. Soc., 2024
Zhangchi Chen, “Hodge-Riemann property of Griffiths positive matrices with (1,1)-form entries”, Proc. Amer. Math. Soc., 152:10 (2024), 4115
Ramon van Handel, Lecture Notes in Mathematics, 2327, Geometric Aspects of Functional Analysis, 2023, 337
Zhang Ya., “On Higher-Rank Khovanskii-Teissier Inequalities”, J. Funct. Anal., 282:1 (2022), 109264
Chen X., Wentworth R.A., “Compactness For Omega-Yang-Mills Connections”, Calc. Var. Partial Differ. Equ., 61:2 (2022), 58
Jan Kotrbatý, Thomas Wannerer, “On mixed Hodge–Riemann relations for translation-invariant valuations and Aleksandrov–Fenchel inequalities”, Commun. Contemp. Math., 24:07 (2022)
Xiao J., “Mixed Hodge-Riemann Bilinear Relations Andm-Positivity”, Sci. China-Math., 64:7 (2021), 1703–1714
Kotrbaty J., “On Hodge-Riemann Relations For Translation-Invariant Valuations”, Adv. Math., 390 (2021), 107914
Diamond B.E., “Smooth Surfaces in Smooth Fourfolds With Vanishing First Chern Class”, J. Pure Appl. Algebr., 222:5 (2018), 1164–1188
Xu Wang, “A remark on the Alexandrov–Fenchel inequality”, Journal of Functional Analysis, 274:7 (2018), 2061
Li P., “Cauchy-Schwarz-Type Inequalities on Kahler Manifolds-II”, J. Geom. Phys., 99 (2016), 256–262
Dinh T.-C., Nguyen V.-A., Truong T.T., “Equidistribution For Meromorphic Maps With Dominant Topological Degree”, Indiana Univ. Math. J., 64:6 (2015), 1805–1828
Nessim Sibony, Tien-Cuong Dinh, “Rigidity of Julia sets for Hénon type maps”, JMD, 8:3/4 (2015), 499
Tien-Cuong Dinh, Viet-Anh Nguyen, Tuyen Trung Truong, “On the Dynamical Degrees of Meromorphic Maps Preserving a Fibration”, Commun. Contemp. Math., 14:6 (2012), 1250042
Cattani, E, “Mixed Lefschetz Theorems and Hodge-Riemann Bilinear Relations”, International Mathematics Research Notices, 2008, rnn025
Dinh, TC, “The mixed Hodge-Riemann bilinear relations for compact Kahler manifolds”, Geometric and Functional Analysis, 16:4 (2006), 838
Dinh, TC, “Commutative groups of automorphisms of a compact Kahler manifold”, Duke Mathematical Journal, 123:2 (2004), 311

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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