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JOURNALS // Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya // Archive

Izv. RAN. Ser. Mat., 2014 Volume 78, Issue 2, Pages 167–224 (Mi im7916)

This article is cited in 10 papers

Two local inequalities

I. A. Cheltsov

University of Edinburgh

Abstract: We prove two new local inequalities for divisors on smooth surfaces and consider several applications of these inequalities.

Keywords: Tian's $\alpha$-invariant, del Pezzo surface, Cremona group.

UDC: 512.76

MSC: 14C20, 14E07, 14J17, 14J25

Received: 19.09.2011
Revised: 09.05.2013

DOI: 10.4213/im7916


 English version:
Izvestiya: Mathematics, 2014, 78:2, 375–426

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© Steklov Math. Inst. of RAS, 2025