TY - CHAP
T1 - Variation of numerical dimension of singular hermitian line bundles
AU - Matsumura, Shin Ichi
N1 - Funding Information:
This paper has been written during author’s stay in Institut de Mathématiques de Jussieu-Paris Rive gauche (IMJ-PRG). The author would like to thank the members of IMJ-PRG for their hospitality. He is supported by the Grant-in-Aid for Young Scientists (A) ♯17H04821 from JSPS and the JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers.
Funding Information:
Acknowledgements This paper has been written during author’s stay in Institut de Mathématiques de Jussieu-Paris Rive gauche (IMJ-PRG). The author would like to thank the members of IMJ-PRG for their hospitality. He is supported by the Grant-in-Aid for Young Scientists (A) ♯17H04821 from JSPS and the JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers.
Publisher Copyright:
© 2018, Springer Nature Singapore Pte Ltd.
PY - 2018
Y1 - 2018
N2 - The purpose of this paper is to give two supplements for vanishing theorems: One is a relative version of the Kawamata-Viehweg-Nadel type vanishing theorem, which is obtained from an observation for the variation of the numerical dimension of singular hermitian line bundles. The other is an analytic injectivity theorem for log canonical pairs on surfaces, which can be seen as a partial answer for Fujino’s conjecture.
AB - The purpose of this paper is to give two supplements for vanishing theorems: One is a relative version of the Kawamata-Viehweg-Nadel type vanishing theorem, which is obtained from an observation for the variation of the numerical dimension of singular hermitian line bundles. The other is an analytic injectivity theorem for log canonical pairs on surfaces, which can be seen as a partial answer for Fujino’s conjecture.
KW - Injectivity theorem
KW - Log canonical singularities
KW - Multiplier ideal sheaves
KW - Numerical dimension
KW - Singular hermitian metrics
KW - Vanishing theorem
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U2 - 10.1007/978-981-13-1672-2_19
DO - 10.1007/978-981-13-1672-2_19
M3 - Chapter
AN - SCOPUS:85053085138
T3 - Springer Proceedings in Mathematics and Statistics
SP - 247
EP - 255
BT - Springer Proceedings in Mathematics and Statistics
PB - Springer New York LLC
ER -