TIAN'S INVARIANT ON G 2,4 C BLOWN UP BY P 1 C = S 2

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Abstract

In this paper, we prove the existence of an extremal function that lowers all admissible functions with zero sup on non-toric Fano manifold, namely the complex Grassmannian G2,4C blown up by P1C. The functions considered are invariant under a suitably chosen automorphism group. This lowering is done in order to calculate, for this class of functions, the Tian invariant on these manifolds.
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TIAN'S INVARIANT ON G 2,4 C BLOWN UP BY P 1 C = S 2 | Authorea try { document.documentElement.classList.add('js'); } catch (e) { } var _gaq = _gaq || []; _gaq.push(['_setAccount', 'G-8VDV14Y67G']); _gaq.push(['_trackPageview']); (function() { var ga = document.createElement('script'); ga.type = 'text/javascript'; ga.async = true; ga.src = ('https:' == document.location.protocol ? 'https://ssl' : 'http://www') + '.google-analytics.com/ga.js'; var s = document.getElementsByTagName('script')[0]; s.parentNode.insertBefore(ga, s); })(); Skip to main content Preprints Collections Wiley Open Research IET Open Research Ecological Society of Japan All Collections About About Authorea FAQs Contact Us Quick Search anywhere Search for preprint articles, keywords, etc. Search Search ADVANCED SEARCH SCROLL This is a preprint and has not been peer reviewed. Data may be preliminary. 11 July 2025 V1 Latest version Share on TIAN'S INVARIANT ON G 2,4 C BLOWN UP BY P 1 C = S 2 Author : Riadh JELLOUL 0009-0002-5085-7400 [email protected] Authors Info & Affiliations https://doi.org/10.22541/au.175225925.55658923/v1 173 views 106 downloads Contents Abstract Supplementary Material Information & Authors Metrics & Citations View Options References Figures Tables Media Share Abstract In this paper, we prove the existence of an extremal function that lowers all admissible functions with zero sup on non-toric Fano manifold, namely the complex Grassmannian G2,4C blown up by P1C. The functions considered are invariant under a suitably chosen automorphism group. This lowering is done in order to calculate, for this class of functions, the Tian invariant on these manifolds. Supplementary Material File (11.pdf) Download 256.42 KB Information & Authors Information Version history V1 Version 1 11 July 2025 Copyright This work is licensed under a Non Exclusive No Reuse License. Keywords an extremal function chern class grassmann manifold plurisubharmonic function tian's invariant Authors Affiliations Riadh JELLOUL 0009-0002-5085-7400 [email protected] MANAR FACULTY OF SCIENCES OF TUNIS NONLINEAR ANALYSIS AND GEOMETRY UNIT, UNIVERSITY OF TUNIS EL View all articles by this author Metrics & Citations Metrics Article Usage 173 views 106 downloads .FvxKWukQNSOunydq8rnd { width: 100px; } Citations Download citation Riadh JELLOUL. TIAN'S INVARIANT ON G 2,4 C BLOWN UP BY P 1 C = S 2. Authorea . 11 July 2025. DOI: https://doi.org/10.22541/au.175225925.55658923/v1 If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download. 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