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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 9 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, 2024