Imperial College London

Professor Paolo Cascini

Faculty of Natural SciencesDepartment of Mathematics

Head of Pure Mathematics Section/Professor of Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 8861p.cascini

 
 
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Location

 

676Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Cascini:2018:10.1515/crelle-2015-0112,
author = {Cascini, P and Floris, E},
doi = {10.1515/crelle-2015-0112},
journal = {Journal für die reine und angewandte Mathematik (Crelles Journal)},
pages = {201--236},
title = {On invariance of plurigenera for foliations on surfaces},
url = {http://dx.doi.org/10.1515/crelle-2015-0112},
volume = {2018},
year = {2018}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - We show that if $(X_t,\mathcal{F}_t)_t$ is a family of foliations withreduced singularities on a smooth family of surfaces, then invariance ofplurigenera holds for sufficiently large $m$. On the other hand, we provideexamples on which the result fails, for small values of $m$.
AU - Cascini,P
AU - Floris,E
DO - 10.1515/crelle-2015-0112
EP - 236
PY - 2018///
SN - 1435-5345
SP - 201
TI - On invariance of plurigenera for foliations on surfaces
T2 - Journal für die reine und angewandte Mathematik (Crelles Journal)
UR - http://dx.doi.org/10.1515/crelle-2015-0112
UR - http://hdl.handle.net/10044/1/30517
VL - 2018
ER -