A note on adjoint linear systems

Lee, Seunghun

doi:10.1090/S0002-9939-05-07868-8

A note on adjoint linear systems
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Proc. Amer. Math. Soc. 133 (2005), 1959-1964 Request permission

Abstract:

In this note, we give a weak estimate on the separation of tangent directions of the conjecture of Fujita for adjoint linear systems on smooth varieties.

References

Lawrence Ein, Multiplier ideals, vanishing theorems and applications, Algebraic geometry—Santa Cruz 1995, Proc. Sympos. Pure Math., vol. 62, Amer. Math. Soc., Providence, RI, 1997, pp. 203–219. MR 1492524, DOI 10.1090/s0894-0347-97-00223-3
Lawrence Ein and Robert Lazarsfeld, Global generation of pluricanonical and adjoint linear series on smooth projective threefolds, J. Amer. Math. Soc. 6 (1993), no. 4, 875–903. MR 1207013, DOI 10.1090/S0894-0347-1993-1207013-5
T. Fujita, Birational geometry of algebraic varieties: Open problem The 23rd International Symposium of the Division of Mathematics of the Taniguchi Foundation, Katata, (1988), pp. 42–45.
Seunghun Lee, On Maşek’s criterion on very ampleness, Comm. Algebra 30 (2002), no. 9, 4383–4399. MR 1936478, DOI 10.1081/AGB-120013326
Seunghun Lee, Linear systems on Fano threefolds. I, Comm. Algebra 32 (2004), no. 7, 2711–2721. MR 2099929, DOI 10.1081/AGB-120037411
Igor Reider, Vector bundles of rank $2$ and linear systems on algebraic surfaces, Ann. of Math. (2) 127 (1988), no. 2, 309–316. MR 932299, DOI 10.2307/2007055