TY - JOUR
T1 - A transcendental approach to injectivity theorem for log canonical pairs
AU - Matsumura, Shin Ichi
N1 - Funding Information:
The author 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. Received February 25, 2017; accepted in revised form July 3, 2017. Published online February 2019.
Publisher Copyright:
© 2019 Scuola Normale Superiore. All rights reserved.
PY - 2019
Y1 - 2019
N2 - We study a transcendental approach to the cohomology groups of adjoint bundles of log canonical pairs, aiming to establish an analytic theory for log canonical singularities. As a result, in the case of purely log terminal pairs, we give an analytic proof for the injectivity theorem originally proved by Hodge theory. Our method is based on the theory of harmonic integrals and the L2- method for the ∂-equation, and it enables us to generalize the injectivity theorem to the complex analytic setting.
AB - We study a transcendental approach to the cohomology groups of adjoint bundles of log canonical pairs, aiming to establish an analytic theory for log canonical singularities. As a result, in the case of purely log terminal pairs, we give an analytic proof for the injectivity theorem originally proved by Hodge theory. Our method is based on the theory of harmonic integrals and the L2- method for the ∂-equation, and it enables us to generalize the injectivity theorem to the complex analytic setting.
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U2 - 10.2422/2036-2145.201702_018
DO - 10.2422/2036-2145.201702_018
M3 - Article
AN - SCOPUS:85068903005
SN - 0391-173X
VL - 19
SP - 311
EP - 334
JO - Annali della Scuola normale superiore di Pisa - Classe di scienze
JF - Annali della Scuola normale superiore di Pisa - Classe di scienze
IS - 1
ER -